# Math

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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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