Robin Hood has captured three purses of money. The first purse holds two silver pieces, the second purse holds two gold pieces and the third purse holds one silver piece and one gold piece. You randomly choose a purse and pull out one coin. It is a silver piece – what is the probability that the other coin in the bag is also silver?
A. 1 / 1
B. 1 / 3
C. 1 / 2
D. 2 / 3
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The correct answer is option b.
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Probability that the other coin is silver is 1/3.
Given:
There are three purses totally.
1st purse = 2 silver pieces.
3rd purse = 1 gold pieces and one silver pieces.
To find:
Probability that the other coin is silver means that the purse must hold 2 silver coins (this means that purse 1 has 2 silver coins).
Therefore, probability that the other coin is silver is 1st purse.
Thus, probability = 1/3 (1 silver coin from three purses).
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