Question

A box contains 24 yellow, 33 green and 35 red jelly beans. If 8 jelly beans are selected at random, what is the probability that all the beans are green?

Answer 1

0.00014

Explanation:

The box contains a total of 24 + 33 + 35 = 92 jelly beans

If we need to pick 8 jelly beans and want them all to be green:

We can choose 8 green jelly beans from 33 green in C₃₃,₈ different ways

The total ways we can choose 8 jelly beans out from 92 is: C₉₂,₈

Thus, the probability we're looking for is C₃₃,₈ / C₉₂,₈ = 13884156/93080887185 =0.00014