Q. 235.0( 3 Votes )

Bag I contains 3

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


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


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