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6 March, 22:04

Jason bought 10 of the 30 raffle tickets for a drawing. What is the probability that Jason will win all 3 of the prizes if once a raffle ticket wins a prize it is thrown away?

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  1. 6 March, 22:14
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    For the first drawing, there are 30 tickets altogether, and Jason

    has 10 of them. The probability that one of his tickets will win is

    10 / 30.

    For the second drawing, there are 29 tickets altogether, and Jason

    has 9 of them. The probability that one of his tickets will win is

    9 / 29.

    For the third drawing, there are 28 tickets altogether, and Jason

    has 8 of them. The probability that one of his tickets will win is

    8 / 28.

    The probability that all three of these things will happen is

    (10/30) x (9/29) x (8/28) = 720 / 24,360

    = 6 / 203 = 2.96 percent (rounded)
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