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

Explanation

Let,

`E_1 =` White ball is transferred to second bag

`E_2 =` Black ball is transferred to second bag

`A =` White ball is drawn


`P(E_1)=frac{4}{9}`

`P(E_2)=frac{5}{9}`

`P(A/E_1)= frac{8}{14}`

`P(A/E_2)= frac{9}{14}`


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