Given three identical boxes I, II and III, each containing two coins. In box I both coins are gold coins, in box II both are silver coins and in box III there is one gold and one silver coin. A person chooses a box at random and takes out a coin. If the first coin is gold, what is the probability that the other coin in the box is gold.

Explanation

given that, `B_1 = {G,G}`

`B_2 = {S,S}`

`B_3 = {G,S}`

`P(B_1) = P(B_2)=P(B_3)=1/3`

`P(G|B_1)=1`

`P(G|B_2)= 0`

`P(G|B_3) = 1/2`

By baes theorem

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