A bag contains 5 red and 4 green apples. Michael takes one apple at random from the bag. His sister Ashley then takes an apple at random from he bag. What is the probability that the two apples are the same colour?

Question

Can you explain to me how to do this please? Do I need a probability tree or?

Answer 1

A lot of wording just to confuse you. The fact that 2 people draw the apples has nothing to do with it, might just as well have Michael draw 2 apples,
assuming the first apple is not returned to the bag.
What is the prob they are both red or green ?

prob(both red) = (5/9)(4/8) = 5/18
prob(both green) = (4/9)(3/8) = 1/6

so prob(same colour) = 5/18 + 1/6 = 4/9