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A bag contains 4 white and 5 black balls. Another bag contains 9 white and 7 black balls.

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A bag contains 4 white and 5 black balls. Another bag contains 9 white and 7 black balls. A ball is transferred from the first bag to the second and then a ball is drawn at random from the second bag. Find the probability that the ball drawn is white.

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Let E1 is the event that ball transferred from the first bag is white and E2 is the event that the ball transferred from the first bag is black.

Also, E is the event that the ball drawn from the second bag is white.

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