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The probability of rolling a sum of 8 on one roll of a pair of dice is 5/36.

The probability of not rolling a sum of 8 on one roll of a pair of dice is 31/36.

The probability of rolling a sum of 8 twice on two rolls of a pair of dice is

(5/36)(5/36) = (5/36)2 .

The probability of rolling first a sum of 8 and then rolling a sum that is not 8 on the

second roll is (5/36)(31/36).

The probability of rolling a sum that is not 8 on the first roll and rolling a sum of 8

in the second roll is (31/36)(5/36).

So The probability of rolling a sum of 8 at least one of two rolls of a pair of dice is

(5/36)2 + (5/36)(31/38) + (31/36)(5/36) = 0.258487654... ≈ 25.8%.

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โˆ™ 2012-05-15 06:26:09
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Q: What is the probability of rolling a sum of 8 on at least one of two rolls of a pair of number cubes?
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