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Question

One bag contains 4 white and 5 black balls. Another bag contains 6 white and 7 black balls. A ball is transferred form first bag to the second bag and then a ball is drawn from the second bag. Find the probability that the ball drawn in white.

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Solution

A= Event that white ball transferred
B= Event that black ball transferred
C= Event that ball drawn from secondary bag is white
P ( ball drawn is white ) =P ( white ball transferred ) P ( Ball drawn white ) +P ( black ball transferred ) ×P ( ball drawn white )
=49×714+59×614

=28+30126

=58126
Hence, the answer is 58126.


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