a. The sum of 5 can be achieved by the following combinations: (1,4), (2,3), (3,2), (4,1). So there are 4 favorable outcomes. The total number of outcomes when rolling two dice is 6*6 = 36. So, the probability is 4/36 = 1/9.

b. The sum of 9 can be achieved by the following combinations: (3,6), (4,5), (5,4), (6,3). So there are 4 favorable outcomes. The total number of outcomes when rolling two dice is 6*6 = 36. So, the probability is 4/36 = 1/9.

c. The sum of at least 10 can be achieved by the following combinations: (4,6), (5,5), (5,6), (6,4), (6,5), (6,6). So there are 6 favorable outcomes. The total number of outcomes when rolling two dice is 6*6 = 36. So, the probability is 6/36 = 1/6.

d. The sum of 8 can be achieved by the following combinations: (2,6), (3,5), (4,4), (5,3), (6,2). So there are 5 favorable outcomes. The total number of outcomes when rolling two dice is 6*6 = 36. So, the probability is 5/36.

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a. The sum of 5 can be achieved by the following combinations: (1,4), (2,3), (3,2), (4,1). So there are 4 favorable outcomes. The total number of outcomes when rolling two dice is 6*6 = 36. So, the probability is 4/36 = 1/9.

b. The sum of 9 can be achieved by the following combinations: (3,6), (4,5), (5,4), (6,3). So there are 4 favorable outcomes. The total number of outcomes when rolling two dice is 6*6 = 36. So, the probability is 4/36 = 1/9.

c. The sum of at least 10 can be achieved by the following combinations: (4,6), (5,5), (5,6), (6,4), (6,5), (6,6). So there are 6 favorable outcomes. The total number of outcomes when rolling two dice is 6*6 = 36. So, the probability is 6/36 = 1/6.

d. The sum of 8 can be achieved by the following combinations: (2,6), (3,5), (4,4), (5,3), (6,2). So there are 5 favorable outcomes. The total number of outcomes when rolling two dice is 6*6 = 36. So, the probability is 5/36.

Knowee AI · Accepted Answer

a. The sum of 5 can be achieved by the following combinations: (1,4), (2,3), (3,2), (4,1). So there are 4 favorable outcomes. The total number of outcomes when rolling two dice is 6*6 = 36. So, the probability is 4/36 = 1/9.

b. The sum of 9 can be achieved by the following combinations: (3,6), (4,5), (5,4), (6,3). So there are 4 favorable outcomes. The total number of outcomes when rolling two dice is 6*6 = 36. So, the probability is 4/36 = 1/9.

c. The sum of at least 10 can be achieved by the following combinations: (4,6), (5,5), (5,6), (6,4), (6,5), (6,6). So there are 6 favorable outcomes. The total number of outcomes when rolling two dice is 6*6 = 36. So, the probability is 6/36 = 1/6.

d. The sum of 8 can be achieved by the following combinations: (2,6), (3,5), (4,4), (5,3), (6,2). So there are 5 favorable outcomes. The total number of outcomes when rolling two dice is 6*6 = 36. So, the probability is 5/36.

In rolling a pair of dice once, find the probability that the sum of the results will be:a. 5b. 9c. At least 10d. 8

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