In the first urn there are 20 balls, among them 3 are white, in the second urn there are 15 balls and among them 2 are white.

In the first urn there are 20 balls, among them 3 are white, in the second urn there are 15 balls and among them 2 are white. They took a ball from the first urn and transferred it to the second. What is the probability that the ball taken from the second urn after that is white?

The probabilities of hypotheses are
P1 = 3/20
P2 = 17/20
P1 (A) = 3/16
P2 (A) = 2/16
P = 3/20 * 3/16 + 17/20 * 2/16 = 43/320

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