A bag A contains 5 white and 6 black balls. Another bag B contains 4 white and 3 black balls. A ball is transferred from bag A to the bag B and then a ball is taken out of the second bag. Find the probability of this ball being black.

Explanation

`E_{1}=` white ball is put from bag `A` to bag `B`


`E_{2}=` black ball is put from bag `A` to bag `B`


`A=` black ball is choosen



`therefore P(E_{1})=frac{5}{11} `


`P(E_{2})=frac{6}{11}
`


`P(A / E_{1})=frac{3}{8} `


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