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.
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