Bag I contains 3

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

E₁=Ball selected in Bag I

E₂=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(E₂|A)

Now,

P(E₁)=

P(E₂)=

(A|E₂)= Probability of red ball was selected from Bag II

P(A|E₂)=

P(A|E₂)=

(A|E₁)= Probability of red ball was selected from Bag I

P(A|E₁)=

P(A|E₁)=

Now,

Hence, The required probability is