math

The combinations on the lockers at the high school consist of three numbers, each ranging from 0-39. If a combination is chosen at random, what is the probability that the first two numbers are multiples of 9 and the third number is a multiple of 4?

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  1. There are four multiples of 9 and 9 multiples of four between 0 and 39.

    If each number is independently chosen from 0 to 39, the probability of what you describe is
    4/39 x 4/39 x 9/39 = 144/55,319 = 0.002428

    or about 1 in 412

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