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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?

 Nov 24, 2022
 #1
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36 possible rolls

to produce product 3 , possible rolls are    1,3    and    3,1

   for 12      6,2   2,6    3,4    4,3 

       6 rolls out of 36   = 1/6 probability

 Nov 24, 2022
 #2
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Note that it is clear that the answer is 1/61/6: Whatever we got on the first roll, the probability of matching it is 1/61/6. But if you want to use the sample space of 3636, the "favourables" are (1,1)(1,1), (2,2)(2,2), …….Monkey.cool

 Nov 25, 2022
edited by Joehollywood  Nov 25, 2022

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