Question

Two urns each contain yellow balls and black balls. Urn 1 contains 2 yellow balls and 6 black balls. urn2 contains 2 yellow balls and 5 black balls. A ball is drawn from each urn. What is the probability that both balls are yellow?

Please show me how do do this math problem.

Answer 1

The "events" of drawing a yellow ball from each urn are independent, so you multiply the probabilities of each.
They are 2/8 = 1/4 for the first urn and 2/7 for the second urn. The "joint probability" is therefore
(1/4)*(2/7)= 2/28 = 1/14