Question

o dice were rolled. Answer questions 18 to 20: 18. What is the probability that the first die will have “a natural number greater than 1 which can only be divisible by 1 and itself”? (4 points) a. 2/6 b. 3/6 c. 4/6 d. 5/6 19. What is the probability that one die has number “5” as the outcome and the other die has number “1” as the outcome? (4 points) a. 1/36 b. 1/12 c. 1/18 d. 2/72 e. 1/7 20. What is the probability that the second die will have “ a number that is less than the number on the first die ”? (4 points) a. 13/36 b. 15/36 c. 20/36 d. 21/36

Answer 1

Sample space for two die:  
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)  
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)  
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)  
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)  
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)  
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)  

Total outcomes = 36

18. Probability that the first die will have “a natural number greater than 1 which can only be divisible by 1 and itself” = 18/36 = 3/6

Answer b. 3/6

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19. Probability that one die has number “5” as the outcome and the other die has number “1” as the outcome = 2/36 = 1/18

Answer c. 1/18

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20. Probability that the second die will have “ a number that is less than the number on the first die ” = 15/36

Answer b. 15/36