Fixed anti-copying papers A–J. The one-page answer key is a separate file. Use the Print button, top right.
Probability Trees · MCQ assessment
Version A
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1A box contains 4 black and 2 white beads. A bead is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being white after a black).
2A bag contains 3 green and 2 yellow balls. A ball is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being yellow after a green).
3A box contains 3 black and 5 white beads. A bead is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being white after a black).
4A bag contains 4 green and 6 yellow balls. A ball is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being yellow after a green).
5A jar contains 3 toffee and 2 mint sweets. A sweet is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being mint after a toffee).
6A bag contains 4 red and 6 blue counters. A counter is taken at random, its colour noted and replaced, then a second is taken. Complete the tree diagram. Use it to find the probability that the first is red and the second is blue.
7The probability a train is on time on any day is 0.2, independently each day. Two are considered. Complete the tree diagram. Use it to find the probability that the event happens on at least one of the two.
A0.36B0.04C0.64D0.32
8A box contains 3 black and 2 white beads. A bead is taken at random, its colour noted, and put back. Then a second is taken. Complete the tree diagram. Use it to find the probability that at least one is black.
9A spinner has outcomes 1, 2 and 3 with probabilities $\dfrac{1}{5}$, $\dfrac{3}{10}$ and $\dfrac{1}{2}$. It is spun twice. Complete the first stage of the tree diagram. Use it to find the probability of getting 2 both times.
10A bag contains 5 red and 3 blue counters. A counter is taken at random, its colour noted and replaced, then a second is taken. Complete the tree diagram. Use it to find the probability that the first is red and the second is blue.
11The probability a train is on time on any day is 0.3, independently each day. Two are considered. Complete the tree diagram. Use it to find the probability that the event happens on exactly one of the two.
A0.09B0.21C1D0.42
12A bag contains 2 green and 3 yellow balls. A ball is taken at random, its colour noted and replaced, then a second is taken. Complete the tree diagram. Use it to find the probability that the two balls are different colours.
13On a school day the probability it rains is $\dfrac{3}{4}$. If it rains, the probability the bus is late is $\dfrac{1}{5}$. If it is dry, the probability the bus is late is $\dfrac{2}{5}$. Complete the tree diagram. Use it to find the probability that it rains and the bus is late.
14A box contains 5 black and 2 white beads. Two beads are taken at random without replacement. Complete the tree diagram. Use it to find the probability that both are black.
15A jar contains 5 toffee and 3 mint sweets. Two sweets are taken at random without replacement. Complete the tree diagram. Use it to find the probability that at least one sweet is toffee.
How confident do you feel on this topic now?RedAmberGreen
Probability Trees · MCQ assessment
Version B
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1A jar contains 5 toffee and 3 mint sweets. A sweet is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being mint after a toffee).
2A box contains 3 black and 2 white beads. A bead is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being white after a black).
3A bag contains 2 green and 3 yellow balls. A ball is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being yellow after a green).
4A bag contains 3 red and 5 blue counters. A counter is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being blue after a red).
5A jar contains 8 toffee and 2 mint sweets. A sweet is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being mint after a toffee).
6A bag contains 2 red and 3 blue counters. A counter is taken at random, its colour noted, and put back. Then a second is taken. Complete the tree diagram. Use it to find the probability that both are red.
7The probability a train is on time on any day is 0.3, independently each day. Two are considered. Complete the tree diagram. Use it to find the probability that the event happens on both days/attempts.
A0.09B0.21C0.6D0.3
8A jar contains 4 toffee and 6 mint sweets. A sweet is taken at random, its colour noted and replaced, then a second is taken. Complete the tree diagram. Use it to find the probability that the first is toffee and the second is mint.
9A spinner has outcomes red, green and blue with probabilities $\dfrac{1}{8}$, $\dfrac{3}{8}$ and $\dfrac{1}{2}$. It is spun twice. Complete the first stage of the tree diagram. Use it to find the probability of getting green both times.
10A bag contains 3 green and 2 yellow balls. A ball is taken at random, its colour noted, and put back. Then a second is taken. Complete the tree diagram. Use it to find the probability that both are green.
11The probability a seed germinates is 0.4, independently for each seed. Two are considered. Complete the tree diagram. Use it to find the probability that the event happens on exactly one of the two.
A1B0.16C0.48D0.24
12A jar contains 3 toffee and 5 mint sweets. A sweet is taken at random, its colour noted and replaced, then a second is taken. Complete the tree diagram. Use it to find the probability that both sweets are the same colour.
13A jar contains 4 toffee and 6 mint sweets. Two sweets are taken at random without replacement. Complete the tree diagram. Use it to find the probability that both are toffee.
15A box contains 3 black and 6 white beads. Two beads are picked at random. Complete the tree diagram. Use it to find the probability that at least one bead is black.
How confident do you feel on this topic now?RedAmberGreen
Probability Trees · MCQ assessment
Version C
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1A bag contains 2 green and 3 yellow balls. A ball is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being yellow after a green).
2A box contains 3 black and 2 white beads. A bead is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being white after a black).
3A bag contains 4 green and 2 yellow balls. A ball is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being yellow after a green).
4A bag contains 2 green and 4 yellow balls. A ball is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being yellow after a green).
5A bag contains 2 red and 3 blue counters. A counter is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being blue after a red).
6A bag contains 7 green and 3 yellow balls. A ball is taken at random, its colour noted, and put back. Then a second is taken. Complete the tree diagram. Use it to find the probability that both are green.
7A spinner has outcomes 1, 2 and 3 with probabilities $\dfrac{1}{5}$, $\dfrac{3}{10}$ and $\dfrac{1}{2}$. It is spun twice. Complete the first stage of the tree diagram. Use it to find the probability of getting 2 both times.
8A bag contains 2 red and 4 blue counters. A counter is taken at random, its colour noted and replaced, then a second is taken. Complete the tree diagram. Use it to find the probability that the first is red and the second is blue.
9The probability a train is on time on any day is 0.3, independently each day. Two are considered. Complete the tree diagram. Use it to find the probability that the event happens on exactly one of the two.
A0.09B0.21C0.42D1
10A bag contains 8 red and 2 blue counters. A counter is taken at random, its colour noted, and put back. Then a second is taken. Complete the tree diagram. Use it to find the probability that both are red.
11A spinner has outcomes red, green and blue with probabilities $\dfrac{1}{8}$, $\dfrac{3}{8}$ and $\dfrac{1}{2}$. It is spun twice. Complete the first stage of the tree diagram. Use it to find the probability of getting green both times.
12A box contains 3 black and 7 white beads. A bead is taken at random, its colour noted and replaced, then a second is taken. Complete the tree diagram. Use it to find the probability that the two beads are different colours.
13A bag contains 2 green and 3 yellow balls. A ball is taken at random, its colour noted and it is put back; a second is then taken. Complete the tree diagram. Work out the probability that at least one ball is green.
14The probability Priya revises on a given evening is $\dfrac{3}{10}$. If she revises, the probability she passes the weekly quiz is $\dfrac{1}{2}$. If she does not revise, the probability she passes is $\dfrac{3}{4}$. Complete the tree diagram. Use it to find the probability that Priya revises and passes the quiz.
How confident do you feel on this topic now?RedAmberGreen
Probability Trees · MCQ assessment
Version D
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1A bag contains 2 green and 4 yellow balls. A ball is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being yellow after a green).
2A bag contains 8 green and 2 yellow balls. A ball is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being yellow after a green).
3A box contains 2 black and 6 white beads. A bead is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being white after a black).
4A jar contains 3 toffee and 2 mint sweets. A sweet is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being mint after a toffee).
5A bag contains 3 green and 2 yellow balls. A ball is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being yellow after a green).
6A jar contains 5 toffee and 3 mint sweets. A sweet is taken at random, its colour noted and replaced, then a second is taken. Complete the tree diagram. Use it to find the probability that the first is toffee and the second is mint.
7A box contains 3 black and 7 white beads. A bead is taken at random, its colour noted, and put back. Then a second is taken. Complete the tree diagram. Use it to find the probability that at least one is black.
8A spinner has outcomes 1, 2 and 3 with probabilities $\dfrac{1}{5}$, $\dfrac{3}{10}$ and $\dfrac{1}{2}$. It is spun twice. Complete the first stage of the tree diagram. Use it to find the probability of getting 2 both times.
9The probability a train is on time on any day is 0.6, independently each day. Two are considered. Complete the tree diagram. Use it to find the probability that the event happens on exactly one of the two.
A1B0.48C0.36D0.24
10A bag contains 6 green and 2 yellow balls. A ball is taken at random, its colour noted and replaced, then a second is taken. Complete the tree diagram. Use it to find the probability that the first is green and the second is yellow.
11A bag contains 2 red and 6 blue counters. A counter is taken at random, its colour noted, and put back. Then a second is taken. Complete the tree diagram. Use it to find the probability that both are red.
12A part is made on machine X with probability $\dfrac{1}{10}$, otherwise on machine Y. A part from machine X is faulty with probability $\dfrac{4}{5}$. A part from machine Y is faulty with probability $\dfrac{1}{2}$. Complete the tree diagram. Use it to find the probability that a part is from machine X and is faulty.
13A jar contains 3 toffee and 2 mint sweets. A sweet is taken at random, its colour noted and replaced, then a second is taken. Complete the tree diagram. Use it to find the probability that the two sweets are different colours.
14A bag contains 3 green and 6 yellow balls. Two balls are picked at random. Complete the tree diagram. Use it to find the probability that at least one ball is green.
15Bag A contains 3 green balls out of 4. Bag B contains $n$ of its 10 balls coloured green. One ball is taken at random from each bag. The probability that both are green is $\dfrac{3}{5}$. Work out the value of $n$.
A9B7C8D2
How confident do you feel on this topic now?RedAmberGreen
Probability Trees · MCQ assessment
Version E
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1A bag contains 4 green and 2 yellow balls. A ball is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being yellow after a green).
2A box contains 2 black and 4 white beads. A bead is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being white after a black).
3A box contains 4 black and 2 white beads. A bead is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being white after a black).
4A bag contains 3 red and 5 blue counters. A counter is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being blue after a red).
5A bag contains 2 green and 3 yellow balls. A ball is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being yellow after a green).
6The probability a seed germinates is 0.4, independently for each seed. Two are considered. Complete the tree diagram. Use it to find the probability that the event happens on exactly one of the two.
A1B0.48C0.16D0.24
7A spinner has outcomes red, green and blue with probabilities $\dfrac{1}{5}$, $\dfrac{3}{10}$ and $\dfrac{1}{2}$. It is spun twice. Complete the first stage of the tree diagram. Use it to find the probability of getting green both times.
8A bag contains 2 red and 3 blue counters. A counter is taken at random, its colour noted, and put back. Then a second is taken. Complete the tree diagram. Use it to find the probability that at least one is red.
9A bag contains 2 red and 3 blue counters. A counter is taken at random, its colour noted and replaced, then a second is taken. Complete the tree diagram. Use it to find the probability that the first is red and the second is blue.
10A jar contains 6 toffee and 2 mint sweets. A sweet is taken at random, its colour noted, and put back. Then a second is taken. Complete the tree diagram. Use it to find the probability that both are toffee.
11A box contains 5 black and 3 white beads. A bead is taken at random, its colour noted and replaced, then a second is taken. Complete the tree diagram. Use it to find the probability that the first is black and the second is white.
12A jar contains 3 toffee and 4 mint sweets. Two sweets are taken at random without replacement. Complete the tree diagram. Use it to find the probability that both are toffee.
13A bag contains 2 green and 4 yellow balls. A ball is taken at random, its colour noted and it is put back; a second is then taken. Complete the tree diagram. Work out the probability that at least one ball is green.
14Bag A has 3 green and 4 yellow balls. Bag B has 4 green and 2 yellow balls. One ball is taken at random from each bag. Complete the tree diagram. Use it to find the probability that one ball is green and the other is yellow.
15A bag contains $n$ green discs and 2 white discs. Two discs are taken at random without replacement. The probability that both discs are green is $\dfrac{2}{5}$. Work out the value of $n$.
A4B3C5D6
How confident do you feel on this topic now?RedAmberGreen
Probability Trees · MCQ assessment
Version F
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1A bag contains 4 green and 2 yellow balls. A ball is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being yellow after a green).
2A box contains 3 black and 2 white beads. A bead is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being white after a black).
3A bag contains 4 red and 6 blue counters. A counter is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being blue after a red).
4A box contains 2 black and 6 white beads. A bead is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being white after a black).
5A jar contains 2 toffee and 4 mint sweets. A sweet is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being mint after a toffee).
6A box contains 5 black and 3 white beads. A bead is taken at random, its colour noted, and put back. Then a second is taken. Complete the tree diagram. Use it to find the probability that both are black.
7A jar contains 3 toffee and 2 mint sweets. A sweet is taken at random, its colour noted and replaced, then a second is taken. Complete the tree diagram. Use it to find the probability that the first is toffee and the second is mint.
8A spinner has outcomes win, draw and lose with probabilities $\dfrac{1}{5}$, $\dfrac{3}{10}$ and $\dfrac{1}{2}$. It is spun twice. Complete the first stage of the tree diagram. Use it to find the probability of getting draw both times.
9The probability a basketball player scores a free throw is 0.3, independently each attempt. Two are considered. Complete the tree diagram. Use it to find the probability that the event happens on exactly one of the two.
A0.42B1C0.21D0.09
10A box contains 3 black and 2 white beads. A bead is taken at random, its colour noted, and put back. Then a second is taken. Complete the tree diagram. Use it to find the probability that at least one is black.
11A box contains 4 black and 6 white beads. A bead is taken at random, its colour noted and replaced, then a second is taken. Complete the tree diagram. Use it to find the probability that the first is black and the second is white.
12A jar contains 2 toffee and 3 mint sweets. A sweet is taken at random, its colour noted and it is put back; a second is then taken. Complete the tree diagram. Work out the probability that exactly one sweet is toffee.
13A bag contains 6 green and 4 yellow balls. A ball is taken at random, its colour noted and replaced, then a second is taken. Complete the tree diagram. Use it to find the probability that both balls are the same colour.
14A box contains 4 black and 4 white beads. Two beads are taken at random without replacement. Complete the tree diagram. Use it to find the probability that both beads are the same colour.
15Bag A contains 5 red counters out of 6. Bag B contains $n$ of its 10 counters coloured red. One counter is taken at random from each bag. The probability that both are red is $\dfrac{1}{3}$. Work out the value of $n$.
A4B6C3D5
How confident do you feel on this topic now?RedAmberGreen
Probability Trees · MCQ assessment
Version G
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1A bag contains 6 red and 2 blue counters. A counter is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being blue after a red).
2A bag contains 2 green and 3 yellow balls. A ball is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being yellow after a green).
3A bag contains 3 green and 2 yellow balls. A ball is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being yellow after a green).
4A jar contains 8 toffee and 2 mint sweets. A sweet is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being mint after a toffee).
5A jar contains 4 toffee and 2 mint sweets. A sweet is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being mint after a toffee).
6The probability a train is on time on any day is 0.6, independently each day. Two are considered. Complete the tree diagram. Use it to find the probability that the event happens on exactly one of the two.
A1B0.48C0.24D0.36
7A jar contains 2 toffee and 3 mint sweets. A sweet is taken at random, its colour noted and replaced, then a second is taken. Complete the tree diagram. Use it to find the probability that the first is toffee and the second is mint.
8A bag contains 2 green and 8 yellow balls. A ball is taken at random, its colour noted, and put back. Then a second is taken. Complete the tree diagram. Use it to find the probability that at least one is green.
9A spinner has outcomes 1, 2 and 3 with probabilities $\dfrac{1}{8}$, $\dfrac{3}{8}$ and $\dfrac{1}{2}$. It is spun twice. Complete the first stage of the tree diagram. Use it to find the probability of getting 2 both times.
10The probability a basketball player scores a free throw is 0.3, independently each attempt. Two are considered. Complete the tree diagram. Use it to find the probability that the event happens on at least one of the two.
A0.51B0.09C0.42D0.49
11A box contains 2 black and 4 white beads. A bead is taken at random, its colour noted and replaced, then a second is taken. Complete the tree diagram. Use it to find the probability that the first is black and the second is white.
13Bag A has 4 black and 3 white beads. Bag B has 2 black and 3 white beads. One bead is taken at random from each bag. Complete the tree diagram. Use it to find the probability that one bead is black and the other is white.
14A bag contains 6 red and 3 blue counters. Two counters are picked at random. Complete the tree diagram. Use it to find the probability that both are red.
15A bag contains $n$ green discs and 2 white discs. Two discs are taken at random without replacement. The probability that both discs are green is $\dfrac{10}{21}$. Work out the value of $n$.
A6B4C7D5
How confident do you feel on this topic now?RedAmberGreen
Probability Trees · MCQ assessment
Version H
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1A box contains 6 black and 4 white beads. A bead is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being white after a black).
2A bag contains 4 green and 6 yellow balls. A ball is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being yellow after a green).
3A bag contains 3 green and 2 yellow balls. A ball is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being yellow after a green).
4A jar contains 3 toffee and 2 mint sweets. A sweet is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being mint after a toffee).
5A box contains 2 black and 3 white beads. A bead is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being white after a black).
6A bag contains 8 green and 2 yellow balls. A ball is taken at random, its colour noted, and put back. Then a second is taken. Complete the tree diagram. Use it to find the probability that at least one is green.
7The probability a train is on time on any day is 0.7, independently each day. Two are considered. Complete the tree diagram. Use it to find the probability that the event happens on at least one of the two.
A0.91B0.09C0.49D0.42
8A spinner has outcomes win, draw and lose with probabilities $\dfrac{1}{5}$, $\dfrac{3}{10}$ and $\dfrac{1}{2}$. It is spun twice. Complete the first stage of the tree diagram. Use it to find the probability of getting draw both times.
9A box contains 2 black and 8 white beads. A bead is taken at random, its colour noted and replaced, then a second is taken. Complete the tree diagram. Use it to find the probability that the first is black and the second is white.
10A bag contains 5 red and 3 blue counters. A counter is taken at random, its colour noted, and put back. Then a second is taken. Complete the tree diagram. Use it to find the probability that both are red.
11The probability a train is on time on any day is 0.6, independently each day. Two are considered. Complete the tree diagram. Use it to find the probability that the event happens on at least one of the two.
A0.36B0.16C0.48D0.84
12A bag contains 3 green and 5 yellow balls. A ball is taken at random, its colour noted and replaced, then a second is taken. Complete the tree diagram. Use it to find the probability that both balls are the same colour.
13Bag A has 2 toffee and 3 mint sweets. Bag B has 4 toffee and 4 mint sweets. One sweet is taken at random from each bag. Complete the tree diagram. Use it to find the probability that both sweets are toffee.
14A bag contains 2 green and 3 yellow balls. A ball is taken at random, its colour noted and it is put back; a second is then taken. Complete the tree diagram. Work out the probability that at least one ball is green.
15A bag contains 3 green and 6 yellow balls. Two balls are picked at random. Complete the tree diagram. Use it to find the probability that at least one ball is green.
How confident do you feel on this topic now?RedAmberGreen
Probability Trees · MCQ assessment
Version I
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
Mark bar · shade a box for each question you got right
123456789101112131415
/ 15
1A bag contains 2 green and 4 yellow balls. A ball is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being yellow after a green).
2A bag contains 2 green and 6 yellow balls. A ball is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being yellow after a green).
3A jar contains 2 toffee and 3 mint sweets. A sweet is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being mint after a toffee).
4A bag contains 3 red and 7 blue counters. A counter is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being blue after a red).
5A bag contains 4 green and 6 yellow balls. A ball is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being yellow after a green).
6The probability a basketball player scores a free throw is 0.2, independently each attempt. Two are considered. Complete the tree diagram. Use it to find the probability that the event happens on exactly one of the two.
A0.16B0.04C0.32D1
7A box contains 5 black and 3 white beads. A bead is taken at random, its colour noted, and put back. Then a second is taken. Complete the tree diagram. Use it to find the probability that both are black.
8A spinner has outcomes 1, 2 and 3 with probabilities $\dfrac{1}{5}$, $\dfrac{3}{10}$ and $\dfrac{1}{2}$. It is spun twice. Complete the first stage of the tree diagram. Use it to find the probability of getting 2 both times.
9A bag contains 6 green and 4 yellow balls. A ball is taken at random, its colour noted and replaced, then a second is taken. Complete the tree diagram. Use it to find the probability that the first is green and the second is yellow.
10The probability a seed germinates is 0.8, independently for each seed. Two are considered. Complete the tree diagram. Use it to find the probability that the event happens on exactly one of the two.
A0.16B0.32C1D0.64
11A bag contains 2 red and 6 blue counters. A counter is taken at random, its colour noted, and put back. Then a second is taken. Complete the tree diagram. Use it to find the probability that at least one is red.
12Bag A has 3 red and 4 blue counters. Bag B has 4 red and 2 blue counters. One counter is taken at random from each bag. Complete the tree diagram. Use it to find the probability that one counter is red and the other is blue.
13A box contains 5 black and 3 white beads. Two beads are picked at random. Complete the tree diagram. Use it to find the probability that both are black.
14Bag A contains 4 red counters out of 8. Bag B contains $n$ of its 5 counters coloured red. One counter is taken at random from each bag. The probability that both are red is $\dfrac{2}{5}$. Work out the value of $n$.
A4B1C5D3
15A bag contains $n$ orange sweets and 2 lemon sweets. Two sweets are taken at random without replacement. The probability that both sweets are orange is $\dfrac{2}{5}$. Work out the value of $n$.
A3B4C5D6
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Probability Trees · MCQ assessment
Version J
Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______
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1A jar contains 2 toffee and 8 mint sweets. A sweet is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being mint after a toffee).
2A bag contains 5 green and 3 yellow balls. A ball is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being yellow after a green).
3A box contains 2 black and 3 white beads. A bead is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being white after a black).
4A bag contains 4 red and 2 blue counters. A counter is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being blue after a red).
5A box contains 3 black and 2 white beads. A bead is taken at random, its colour noted and replaced, then a second is taken. The tree diagram is partly complete. Find the probability marked $?$ (the second pick being white after a black).
6The probability a train is on time on any day is 0.3, independently each day. Two are considered. Complete the tree diagram. Use it to find the probability that the event happens on at least one of the two.
A0.49B0.42C0.51D0.09
7A jar contains 2 toffee and 4 mint sweets. A sweet is taken at random, its colour noted, and put back. Then a second is taken. Complete the tree diagram. Use it to find the probability that at least one is toffee.
8A spinner has outcomes 1, 2 and 3 with probabilities $\dfrac{1}{5}$, $\dfrac{3}{10}$ and $\dfrac{1}{2}$. It is spun twice. Complete the first stage of the tree diagram. Use it to find the probability of getting 2 both times.
9A box contains 3 black and 2 white beads. A bead is taken at random, its colour noted and replaced, then a second is taken. Complete the tree diagram. Use it to find the probability that the first is black and the second is white.
10The probability a basketball player scores a free throw is 0.3, independently each attempt. Two are considered. Complete the tree diagram. Use it to find the probability that the event happens on exactly one of the two.
A0.42B0.21C0.09D1
11A box contains 6 black and 4 white beads. A bead is taken at random, its colour noted, and put back. Then a second is taken. Complete the tree diagram. Use it to find the probability that at least one is black.
12A bag contains 3 green and 7 yellow balls. A ball is taken at random, its colour noted and it is put back; a second is then taken. Complete the tree diagram. Work out the probability that both balls are green.
13A box contains 4 black and 6 white beads. Two beads are picked at random. Complete the tree diagram. Use it to find the probability that at least one bead is black.
14Bag A contains 3 black beads out of 4. Bag B contains $n$ of its 8 beads coloured black. One bead is taken at random from each bag. The probability that both are black is $\dfrac{3}{16}$. Work out the value of $n$.
A2B6C3D1
15A bag contains $n$ orange sweets and 2 lemon sweets. Two sweets are taken at random without replacement. The probability that both sweets are orange is $\dfrac{10}{21}$. Work out the value of $n$.
A7B5C6D4
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