Assignment Bayes/Conditional Probability

Task

Suppose we have four treasure boxes. In each box are two coins. This could be either a silver coin (S) or a gold coin (G). The following list shows how the coins are distributed among the boxes.

Box 1: GG

Box 2: GS

Box 3: GS

Box 4: SS

What is the probability of selecting box 1, if we blindly draw a gold coin?

Solution