Answer :

**Given,** Two bags are given, in which 3 red and 4 black balls in I bag and 5 Red and 6 black balls in Bag II.

**To Find:** Find the probability that it was drawn from Bag II.

**Explanation:** Let us Consider some Assumption

**E _{1}**=Ball selected in Bag I

**E _{2}**=Ball selected in Bag II

**A**=selected Ball is Red

**B**=selected Ball is Black

Now, We need to find a red ball drawn from bag II.

That means, P(E_{2}|A)

Now,

P(E_{1})=

P(E_{2})=

(A|E_{2})= Probability of red ball was selected from Bag II

P(A|E_{2})=

P(A|E_{2})=

(A|E_{1})= Probability of red ball was selected from Bag I

P(A|E_{1})=

P(A|E_{1})=

Now,

**Hence, The required probability is**

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