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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?

 Dec 27, 2022
 #1
avatar+1312 
+3

A six sided dice has cases: 1, 2, 3, 4, 5, 6.

3 is prime, so you have to get a 1 and a 3 (2 cases)

12 has factors: (1, 12), (2, 6), (3, 4) (6 cases) 

Total of 8 working cases. Total number of rolls is 6x6 = 36.

Probability is 8/36 = 2/9

 Dec 28, 2022
 #2
avatar+254 
+2

Good luck throwing a 1 and a 12.

 Dec 28, 2022
 #4
avatar+1312 
+1

:) nice job catching my mistake lol.

proyaop  Dec 29, 2022
 #3
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1 - For product of 3, you have 2 possibilities: [1 x 3],  [3 x 1]. Probability: 2 / 36 ==1 / 18

 

2 -For product of 12, you have 4 possibilites: [2 x 6], [6 x 2], [3 x 4], [4 x 3] ==4 / 36 ==1 / 9

 

3 - If you want to combine them, which you shouldn't because the question says: "3 OR 12", then: [2 +4] / 36= 1 /6

 Dec 28, 2022

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