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Urn A contains 6 white balls and 4 black balls, whereas urn B contain 3 white balls and 7 black balls. A ball is drawn

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Urn A contains 6 white balls and 4 black balls, whereas urn B contain 3 white balls and 7 black balls. A ball is drawn at random from urn B and placed in urn A. A ball is then drawn from urn A. It happens to be black. What is the probability that the ball transferred was black

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