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11 February, 12:21

If you roll a dice 100 times how many times would you expect to roll a product that is a multiple of 5

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  1. 11 February, 16:10
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    If you're rolling a single cube, then ...

    - - There are 6 possible out comes.

    - - One of them (5) is a multiple of 5.

    - - The probability of rolling it is (1/6) = 16-2/3 %.

    If everything is acting perfectly random, then ion 100 rolls,

    you'd expect to succeed 16 or 17 times.

    If you're rolling a pair of cubes, then ...

    - - There are (6 x 6) = 36 possible outcomes.

    - - There are seven ways to get a multiple of 5.

    (1+4), (4+1), (2+3), (3+2), (4+6), (6+4), (5+5)

    - - The probability of rolling one of those is

    (7/36) = 19-4/9 %.

    If everything is acting perfectly random, then in 100 rolls,

    you'd expect to succeed 19 or 20 times.
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