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There are two identical boxes containing...

There are two identical boxes containing respectively 3 blue and 2 red marbles, and 2 blue and 5 red marbles. A marble is drawn at random from one of the boxes turns out to be blue. What is the probability that it came from the first box?

Text Solution

Verified by Experts

P(Box A)=1/2
P(Box B)=1/2
P(blue|A)=`(1/2*3/5)/((1/2*3/5)+(1/2*2/7))`
`=21/31`.
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