Question

Given 3 identical boxes I, II and III, each containing two coins. In box I both coins are gold, in box Il 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 coin is of gold, what is the probability that the other coin in the box is also of gold.​

Answer 1

So, we need to find the probability of getting box I

Number of boxes ($T_{o}$) = I, II, III (3)

Number of box w/ both coins of gold ($F_{o}$) = I (1)

P(2nd gold coin) = $F_{o}$ / $T_{o}$ = 1/3 : Ans

Hope I helped