Probability

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if two fair dice are rolled, what is the probablity that the total showing is even or less than seven?

  • Probability -

    less than 7 :

    15 14 13 12 11
    24 23 22 21
    33 32 31
    42 41
    51
    there are 15 of these

    sum is even : 18 cases
    but that includes 9 cases from the above less than 7 count.
    total count = 18 + 15-9 = 24

    prob(less than seven OR even sum) = 24/36 = 2/3

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