When two fair dice are rolled, what is the probability of getting a sum of 7, given that the first die rolled is an odd number?

Question

Mathematics

Boots

6 February, 19:59

When two fair dice are rolled, what is the probability of getting a sum of 7, given that the first die rolled is an odd number?

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Answers (1)

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Frank Key · Answer 1

For each of the possible outcomes add the numbers on the two dice and count how many times this sum is 7. If you do so you will find that the sum is 7 for 6 of the possible outcomes. Thus the sum is a 7 in 6 of the 36 outcomes and hence the probability of rolling a 7 is 6/36 = 1/6.