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Two dice are rolled. Find the probability that an even number is rolled on one die and an odd number is rolled on the second die.

  • Math -

    You could have EO, or OE
    prob(EO) = (/12)(1/2) = 1/4
    prob(OE) = (/12)(1/2) = 1/4
    so prob of one even one odd = 1/4 + 1/4 = 1/2

    Another way:
    make a chart with DIE1 on top and DIE2 on the side.
    there will be 36 outcomes, 18 even sums and 18 odd sums.
    (notice that the sum of an even + odd = odd, but the sum of either two evens or two odds is even)

    so prob = 18/36 = 1/2

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