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26 February, 17:03

To win a lottery, 6 numbers are drawn at random from a pool of 63 numbers. Numbers cannot repeat. If a person has one ticket, what is the probability that they have the winning ticket?

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  1. 26 February, 17:17
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    1 chance in 67 945 521 that's about 1 chance in 57 million

    Step-by-step explanation:

    Very very small.

    The way to choose 6 numbers out of 63 in any order is

    63C6

    which means

    63! / [ (63 - 6) ! 6! ]

    63 * 62 * 61 * 60 * 59 * 58/6! = 67945521

    So he has 1 chance in 67945521

    Put another way, 1 person in 5 in the United States would have to buy a ticket for one of them to win the lottery.
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