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Math Help - probability on product of numbers

  1. #1
    Ka9
    Ka9 is offline
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    probability on product of numbers

    What is the probability that two consequitive positive integers less than or equal to 900 have a product less than or equal to 900? Answer should be in common fraction.

    I think I should approach the problem when the product is less that 900. Like 900*2, 800 * 2, 700*2, 600*2, 500*2, 400*3, 200*5or6or7or8or9, 100*10 cannot be considered. Then subtract that probability from 1. Is it how I should handle this problem? Please guide me.
    Thanks,
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  2. #2
    MHF Contributor

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    This is good example of why I asked the question of you in another reply. You have not carefully read or understood the adjective consecutive.
    The question says that the two integers are consecutive, like 29 and 30.
    That pair works because 29\cdot 30=870.
    But because 30\cdot 31=930 the pair 30~\&~31 does not work.

    So how pairs of consecutive integers work?
    In total So how pairs of consecutive integers are there in the given range?
    Then divide to get the probability.
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