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Use the law of total probability to determine the

A chest has 3 drawers: (D₁) has two silver coins (S), (D₂) has one silver (S) and one gold (G), and (D₃) has two gold (G) coins. The drawer and coin were both randomly selected. Use the law of total probability to determine the probability that the first coin selected from the drawer is gold. Find P(G₁)

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