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A bag contains 1 white and 6 red balls, ...

A bag contains 1 white and 6 red balls, and a second bag contains 4 white and 3 red balls. One of the bags is picked up at random and a ball is randomly drawn from it, and is found to be white in colour. Find the probability that the drawn ball was from the first bag.

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probability of white ball from bag1 =>`1/7`
probability of white ball from bag2=>`4/7`
probability it was bag 1=>`(1/7)/(1/7+4/7)=1/5`
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