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23 June, 09:59

Triplets Adam, Bruce, and Charlie enter a triathlon. If there are 9 competitors in the triathlon and medals are awarded for first, second, and third place, what is the probability that at least two of the triplets will win a medal?

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  1. 23 June, 10:19
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    Answer: Probability that at least two of the triplets will win a medal is19/24

    Step-by-step explanation:

    Total number of cmpetitors=9

    Total number of selecting 3 winners out of 9 competitors=9C3=84

    Number of ways of selecting 2 out of 3 triplets=3C2

    Number of selecting 1 out of 6 others = 6C1

    Number of selecting 2 out of 3 triplet and o1 out of 6 others = 3C2 * 6C1=18

    Number of selecting 3 out of 3 triplets=3C3=1

    Total ways of selecting less than 2 or 2 triplets = 18+1=19

    Probability that at least 2 of the triplets will win is 19/84
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