Richard A. answered 12/22/15
Tutor
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Master of Science in Mathematics with 44+ years of teaching experience
Hi Nupur,
Since there are 4 different possibilities that can happen on the first die and 6 different possibilities on the second, the probability of a 1 showing on the first die and a 1 showing on the second die is (1/4)(1/6) = 1/24. If a 2 shows on the first and a 2 on the second the probability is again (1/4)(1/6) = 1/24. The probability of the dice matching on a 3 or 4 will have the same probabilities. Therefore the probability of the two dice matching is
4(1/4)(1/6) = 1/6
Nupur J.
12/22/15