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    tshaft's Avatar
    tshaft Posts: 1, Reputation: 1
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    #1

    Feb 21, 2007, 07:01 AM
    geometric rv
    a matching problem. 4 cards marked 1,2,3,4 are allocated at random to four positions also marked 1,2,3,4. a match occurs if a card and position number are identical. Let X be the number of matches. Calculate

    1. E(X)
    2. P(X greater than or equaL to one)
    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
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    #2

    Feb 21, 2007, 07:08 AM
    You can do this by writing out all the possible conditions and their number of matches. (there should be 4! = 24 cases).

    The expectation is the average number of matches.

    For the probability, you need to find the probability of getting 0 matches (from your table) and then doing 1 - this probability.

    I'll happily check your answers for you if you come up with anything.
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