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(5)A purse contains 2 silver coins and 4 copper coins and another contains 4silver coins and 3 copper coins. If a coin is selected at random from one ofthe two purses, what is the probability that it is a silver coin? The coinselected is a silver coin, what is the probability that it was taken out fromthe first purse.(Ans. 19/42.7/19)(14 |
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Answer» A purse contains 2 silver coins and 4 copper coins. Thus, total number of coins = 2 + 4 = 6 coins Another purse contains 4 silver coins and 3 copper coins. Thus, total number of coins in the second purse = 4 + 3 = 7 coins Now, Total number of coins in the two purses = 6 + 7 = 13 coins Also, Number of silver coins = 4 + 2 = 6 coins Let E be the event of getting a silver coin. Thus,P(E) = n(E)/Total number of outcomes = 6/13 use "Bayes theorem" to the answer. |
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