One bag contains 5 white and 4 black balls. Another bag contains 7 white and 9 black balls. A ball is transferred from the first bag to the second and then a ball is drawn from second. The probability that the ball is white, is
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Let a white ball be transferred from the first bag to the second. The Probability of selecting a white ball from the first bag 
Now the second bag has 8 white and 9 black. The probability of selecting white ball from the second bag
.
Hence required probability 
If a black ball be transferred from the first bag to the second, then the probability 
Therefore required probability 
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