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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