Let bag A contains 3 red balls and 9 bla...

Let bag A contains 3 red balls and 9 black balls. Bag B contains 8 red balls and 4 black balls. Bag C contains 10 red balls and 2 black balls. A card is drawn from a well shuffled pack of 52 playing cards. If a face card is drawn, a ball is selected from Bag A. If an ace is drawn, a ball is selected from Bag B. If any other card is drawn , a ball is selected from Bag C.
The conditional probability that a bag A was one from which a ball was selected ,given that a red ball is selected is

`107/156`

`15/26`

`3/52`

`4/39`

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