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    Question

    In a purse, there are 3 two-rupee coins and 4 five-rupee

    coins. If you randomly select 4 coins from the purse, what is the probability that you will choose 3 five-rupee coins and 1 two-rupee coin?
    A 15/19 Correct Answer Incorrect Answer
    B 13/25 Correct Answer Incorrect Answer
    C 12/35 Correct Answer Incorrect Answer
    D 18/25 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Number of ways of selecting 3 coins from purse = 7C4 = {[7!/(4!ร—(7-4!))]} = {7!/(3!ร—4!)} = {(7ร—6ร—5)/(1ร—2ร—3)} = 35 Number of ways of selecting 3 five-rupees coins and 1 two-rupees coins = 4C3 ร— 3C1 = [(4!/(3!ร—1!)) ร— (3!/2!ร—1!)] = 4 ร— 3 = 12 Required probability =(12/35)

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