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Math Help - Matching lottery numbers.

  1. #1
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    Matching lottery numbers.

    Hello Please help me out.

    A lottery players choose 6 numbers, 1 to 9 . example 742735

    to match all the numbers the odds are 1/738.1125
    to match 5 the odds are 1/492.075

    or so i think.

    So if 100,000 people played 135.5 would match 6
    but would as the odds suggest 203 match JUST 5?

    or would the 135.5 matching 6 need to be subtracted from the 203 leaving 67.5 people.

    Thanks
    Last edited by mr fantastic; April 16th 2011 at 01:51 PM. Reason: Re-titled.
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  2. #2
    Senior Member Sambit's Avatar
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    A lottery players choose 6 numbers, 1 to 9 . example 742735

    to match all the numbers the odds are 1/738.1125 ......
    Matching all the numbers means getting 1 particular permutation of those 6 integers. Since the total number of numbers (having 6 integers from 1 to 9) is 9^6 = 531441 So to match all the numbers the odds are 1/531441

    ...to match 5 the odds are 1/492.075
    In the same way it will be (6*9)/9^6.
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  3. #3
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    ..

    Sorry forgot to say, the order does not matter.
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