What is the probability that both of the marbles drawn are blue.

Question

A blue urn contains 4 black marbles and two blue marbles. A black urn contains 4 black marbles and 11 blue marbles. One marble is drawn at random from each of the two urns.

Answer 1

The probability of picking a blue marble from the blue urn is 2/6=1/3.

The probability of picking a blue marble from the black urn is 11/15.

The two events are independent so the probability of a blue marble from each urn is the product of the two separate probabilities=1/3×11/15=11/45.