Q. 9

A box contains 2 gold and 3 silver coins. Another box contains 3 gold and 3 silver coins. A box is chosen at random, and a coin is drawn from it. If the selected coin is a gold coin, find the probability that it was drawn from the second box.

Answer :

Let G : Gold coins

S : Siler coins

A : 1st box

B : 2nd box

Assuming, selecting bags is of equal probability i.e.

We want to find P(B|G), i.e. probability of selected gold coin is from the 2nd box

Conclusion: Therefore, the probability of selected gold coin is from the 2nd box is

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