there are two urns containing colored balls . The urn A contains 5 red balls and 5 green . The urn B contains 3 red balls and 7 green balls . One of the two urns is randomly chosen ( both urns have probability 50% of being chosen ) and then a ball is drawn at random from one of the two urns .
Pr(A) = 5 , Pr(B) = 5 , Pr (G|A) = 5 , Pr ( G|B)=7
You will win if a green ball is drawn . What is the total probability of your winning in this set-up ?
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