Concept explainers
Use Table 7.1 to determine the following probabilities if a distinguishable pair of dice is rolled.
(a) Pr(sum is 4)
(b) Pr(sum is 10)
(c) Pr(sum is 12)
To find the probability of obtaining a given sum when a pair of dice is rolled, we need to determine the outcomes. However, the sums {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} are not equally likely; there is only one way to obtain a sum of 2, but there are several ways to obtain a sum of 6. If we distinguish between the two dice we are rolling and we record all the possible outcomes for each die, we see that there are 36 possibilities, each of which is equally likely. Table 7.1 shows these possibilities, with the event “sum = 9" encircled.
TABLE 7.1
This list of possible outcomes for finding the sum of two dice is an equiprobable
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Chapter 7 Solutions
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