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A purse contains 2 silver and 4 copper coins. A second purse contains 4 silver and 3 copper coins. If a coin is pulled at random from one of the two purses, what is the probability that it is a silver coin

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From first purse 2C1/6C1 =1/3
From second purse 4C1/7C1 =4/7
hence 1/3+4/7 =19/21.
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19/21*1/2=1/3
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