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22 September, 05:41

A bag had 3 pink marbles and 4 purple marbles find the probability of selecting 3 pink marbles without replacement

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  1. 22 September, 05:54
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    There are 7 marbles in the bag.

    The probability of drawing a pink one is (3/7).

    Then you have 1 pink one, and there are 6 marbles in the bag.

    The probability of drawing a pink one is (2/6).

    Then you have 2 pink ones, and there are 5 marbles in the bag.

    The probability of drawing a pink one is (1/5).

    The probability of all 3 draws being successful is

    (3/7) (2/6) (1/5) = 6/210 = 1/35 = about 2.86% (rounded)
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