A bag contains 3 red and 4 black balls a...

A bag contains 3 red and 4 black balls and another bag has 4 red and 2 black balls. One bag is selected at random and from the selected bag a ball is drawn. Let `A` be the event that the first bag is selected, `B` be the event that the second bag is selected and `C` be the event that the ball drawn is red. Find `P(A)`, `P(C//A)` and `P(C//B)`.

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