what is the probability that both are green?

Question

a  jar contains Jelly-Beans, and there are 87 pink, 74 purple, 35 white, 70 black, 25 orange, and 47 green. If two Jelly-Beans are chosen from the jar, what is the probability that both are green?

Answer 1

If an event E has n(E ) equally likely outcomes and its sample space S has n(S ) equally likely

outcomes, the probability of event E is .

To find the number of elements in an event, use the formula for the number of combinations of 47 elements taken 2 at a time.

Number of elements = 87 + 74 + 35 + 70 + 25 + 47 = 338.

To find the number of elements in sample space, use the formula for the number of combinations of 338 elements taken 2 at a time.

Probability of getting both green when two jelly-beans are drawn is .