Question

George has some jelly beans in two bags. In one bag he has 4 yellow, 1 black, 4 orange and 3 white jelly beans. In the other bag he has 3 yellow, 4 black, 3 orange and 2 white jelly beans. If George takes one jelly bean out of each bag, what is the likelihood that both of the jelly beans are yellow?

Answer

In the first bag there are `4+1+4+3=12` jelly beans, 4 of which are yellow. Thus, probability of taking yellow jelly bean out of the first bag is `4/12=1/3`.

In the second bag there are `3+4+3+2=12` jelly beans, 3 of which are yellow. Therefore, probability of taking yellow jelly bean out of the second bag is `3/12=1/4`.

By the product rule, probability that both jelly beans are yellow is `1/3*1/4=1/12`.

Answer: `1/12` .