6. Suppose Urn1 contains three white balls and one black ball, while Urn2 contains two white balls and five black balls. One ball is drawn at random from Urn1 and placed in Urn2. A ball is then drawn from Urn2. If the ball drawn from Urn2 is white, what is the probability that the transferred ball was white? Make sure to describe the setup using a tree diagram.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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6. Suppose Urn1 contains three white balls and one black ball, while Urn2 contains two white balls
and five black balls. One ball is drawn at random from Urn1 and placed in Urn2. A ball is
then drawn from Urn2. If the ball drawn from Urn2 is white, what is the probability that the
transferred ball was white? Make sure to describe the setup using a tree diagram.
Transcribed Image Text:6. Suppose Urn1 contains three white balls and one black ball, while Urn2 contains two white balls and five black balls. One ball is drawn at random from Urn1 and placed in Urn2. A ball is then drawn from Urn2. If the ball drawn from Urn2 is white, what is the probability that the transferred ball was white? Make sure to describe the setup using a tree diagram.
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