1

A 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). [1]

2

A box contains 3 black and 7 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). [1]

3

A bag contains 8 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). [1]

4

A jar contains 6 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). [1]

5

A box contains 2 black and 6 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. [3]

6

A 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. [3]

7

The 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 both days/attempts. [3]

8

A jar contains 3 toffee and 2 mint sweets. A sweet is taken at random, its colour is noted and it is put back. A second sweet is then taken. The tree diagram is partly complete. Write down the probability marked $?$ on the tree diagram. [1]

9

A 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 two sweets are different colours. [3]

10

Bag A has 2 toffee and 5 mint sweets. Bag B has 4 toffee and 2 mint sweets. One sweet is taken at random from each bag. Complete the tree diagram. Use it to find the probability that one sweet is toffee and the other is mint. [3]