math

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4 numbers are drawn at random from 10 tiles numbered 0-9. what are the odds of drawing numbers 1-4 in any order.

the question is confusing me

  • math -

    the prob you will pick a correct first number = 4/10
    the prob that the second one is correct = 3/9
    etc
    so the prob of drawing a 1,2,3, and 4
    = (4/10)(3/)(2/8)(1/7) = 1/210

    or
    total number of ways of 'choosing' 4 specifics form 10 is C(10,4) = 210
    only one of these will be the correct choice we want.
    so prob = 1/120

  • math -

    line << = (4/10)(3/)(2/8)(1/7) = 1/210 >>
    should read

    = (4/10)(3/9)(2/8)(1/7) = 1/210
    and it looks like a transposed the digits in the last line

    so prob = 1/210

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