Exit ticket · Probability Trees
- A 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). - The probability Priya revises on a given evening is $\dfrac{3}{5}$.
If she revises, the probability she passes the weekly quiz is $\dfrac{3}{5}$.
If she does not revise, the probability she passes is $\dfrac{1}{2}$.
Complete the tree diagram.
Use it to find the probability that Priya revises and passes the quiz. - A 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 $\dfrac{15}{28}$.
Work out the value of $n$.