Q4. There are two urns. The first urn contains 3 white and 7 black balls; the second contains 6 white and 4 black balls. One ball is taken out of the first urn at random and and put it into the second urn, and then one ball was taken out of the second urn. (a) Find the probability that the removed ball is white. (b) It is known that the ball taken from the second urn was white. Find the probability that a white ball was transferred from the first urn to the second.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Q4. There are two urns. The first urn contains 3 white and 7 black balls; the second contains 6
white and 4 black balls. One ball is taken out of the first urn at random and and put it into the
second urn, and then one ball was taken out of the second urn.
(a) Find the probability that the removed ball is white.
(b) It is known that the ball taken from the second urn was white. Find the probability that a
white ball was transferred from the first urn to the second.
Transcribed Image Text:Q4. There are two urns. The first urn contains 3 white and 7 black balls; the second contains 6 white and 4 black balls. One ball is taken out of the first urn at random and and put it into the second urn, and then one ball was taken out of the second urn. (a) Find the probability that the removed ball is white. (b) It is known that the ball taken from the second urn was white. Find the probability that a white ball was transferred from the first urn to the second.
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