Bag I contains 3 red and 4 black balls and Bag II contains 4 red and 5 black balls. One ball is transferred from Bag I to Bag II and then a ball is drawn from Bag II. The ball so drawn is found to be red in colour. Find the probability that the t

Explanation

`{E}_{1}`= red ball is transferred from bag I to II


`{E}_{2}` =black ball is transferred from bag I to II


`P(E_{1})=frac{3}{7}` and `P(E_{2})=frac{4}{2}`


`A`= ball drawn is red.


If a red ball is transferred from bag I to II


`P(A |E_{1})=frac{5}{10}=frac{1}{2}`


If a black ball is transferred from bag I to II,


`{P}({A} |{E}_{2})=frac{4}{10}=frac{2}{5}`


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