Q. 25.0( 3 Votes )

A bag A contains

Answer :

Given:


Bag A has 2 white and 3 red balls


Bag B has 4 white and 5 red balls


Let us assume B1, B2, B3 and A be the events as follows:


B1 = choosing Bag I


B2 = choosing Bag II


A = choosing red ball from Bag


We know that each Bag is most likely to choose. So, probability of choosing a bag will be same for every bag.




The Probability of choosing balls from each Bag differs from bag to bag and the probabilities are as follows:


P(A|B1) = P(Choosing red ball from Bag 1)





P(A|B2) = P(Choosing red ball from Bag 2)





Now we find


P(B2|A) = P(The chosen ball is from bag2)


Using Baye’s theorem:







The required probabilities are .


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