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statistics

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a horse race has 10 entries and one person owns 5 of those horses. assuming that there are no ties, what is the probability that those 5 horses finish 1,2,3, 4th and 5th regardless of the order?

  • statistics -

    Assume
    There are
    N=10C5 ways of randomly choosing 5 horses out of 10.
    where
    N=10!/(5!5!)=25

    We assume that
    1. order does not count,
    2. winning probabilities are equal among horses,
    3. results are completely random.

    Then the owner has one chance in 252 that his 5 horses are placed 1st to 5th.

  • statistics- correction -

    N=10C5=10!/(5!5!)=252

  • statistics -

    A horse race has 14 entries and one person owns 5 of those horses...

  • statistics -

    .0009

  • statistics -

    .0040

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