An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. Using the sample space provided below and assuming each simple event is as likely as any other, find the probability that the sum of the dots is less than 11. Click the icon to view the sample space. The probability of getting a sum less than 11 is (Type an integer or a simplified fraction.) Data Table Second Die 1 2 3 4 5 6 First Die 1 (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) 2 (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) 3 (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) 4 (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) 5 (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) 6 (6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
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Step 1: Identify the total number of possible outcomes in the sample space, which is 36 (6 possibilities for the first die multiplied by 6 possibilities for the second die). Show more…
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An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. Using the sample space provided below and assuming each simple event is as likely as any other, find the probability that the sum of the dots is less than 11. Click the icon to view the sample space. The probability of getting a sum less than 11 is . (Type an integer or a simplified fraction.)
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An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. Using the sample space provided below and assuming each simple event is as likely as any other, find the probability that the sum of the dots is 7 or 10. Click the icon to view the sample space. The probability the sum of the two die is either 7 or 10 is (Type an integer or a simplified fraction.) Data Table Second Die 1 2 3 4 5 6 1 (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) 2 (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) First Die 3 (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) 4 (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) 5 (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) 6 (6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
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An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. Using the sample space shown in Figure 1 (p. 929 ) and assuming each simple event is as likely as any other, find the probabilities of the sums of dots indicated. Sum is 7 or 11 (a "natural").
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