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A pair of fair, standard dice are rolled. What is the probability the sum of the dice is 3?

 Dec 23, 2020
 #1
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[1 + 2]=3   and   [2 + 1]=3

 

Probability: 2 / 6^2 =1 / 18

 Dec 23, 2020
 #2
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a dice has 6 sides.

6 divided by 3=2

The LCD of 6 and 2 is 6

so the answer is 2/6

 Dec 23, 2020
 #3
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A pair of fair, standard dice are rolled. What is the probability the sum of the dice is 3?   

 

Those two dice could land in one of thirty-six combinations. 

 

Here they are.  The combinations that total three are purple. 

 

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 

 

As you can see, there are two possibilities out of thirty-six combinations. 

 

So the probability is 2 out of 26  aka  2/36  aka  1/18  

.

 Dec 23, 2020

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