Three bags contain balls as shown in the table below:

A bag is chosen at random and two balls are drawn from it. They happen to be white and red. What is the probability that they came from the III bag?

The probability of choosing bag
P(Bag I) = P(Bag II) = P(Bag III) ![]()
Also,
Let E be the event the balls chose happens to be white and red
P(E/Bag I) ![]()
P(E/Bag II) ![]()
P(E/Bag III) ![]()
We have to find the probability that the balls came from the III bag i.e. P(Bag III/E)
And we know,
P(Bag III/E) = 



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