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A standard six-sided die is rolled twice. What is the probability that the product of the rolls is 3 or 12?

 Apr 4, 2023
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A standard six-sided die is rolled twice. What is the probability that the product of the rolls is 3 or 12?     

 

Ways to get   3      1, 3     3, 1                            =  2 ways     

Ways to get 12      2, 6     3, 4     4, 3     6, 2      =  4 ways     

                                                              total      =  6 ways     

 

Total number of possible rolls is 6 • 6                =  36 ways     

 

Probability of desired product is  6 / 36              =  1 / 6     

.     

 Jul 21, 2025

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