There are two identical urns. the first contains 3 white and 2 black balls, the second contains 4 white

There are two identical urns. the first contains 3 white and 2 black balls, the second contains 4 white and 5 black balls. One ball is taken at random from each urn. find the probability that both balls are white.

The total number of balls in the first urn is 3 + 2 = 5, of which 3 are white, which means the probability of pulling a white ball out of this urn with a random extraction is 3/5.

The total number of balls in the second urn is 4 + 5 = 9, of which 4 are white, which means the probability of pulling a white ball out of this urn is 4/9.

The probability that the balls chosen at random, one from each urn are white, is equal to the product of the probabilities that a white ball is extracted from each urn:

3/5 * 4/9 = 4/15.

Answer: 4/15.