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The sum of two dice rolls is 6.  What is the probability that the number 3 appeared at least once?

 Aug 15, 2021
 #1
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The possible outcomes are:

a  1  and a  5

a  2  and a  4

a  3  and a  3

 

Of these 3 possible outcomes, there is 1 where the number three appears at least once.

 

And so the probability that the number three appeared at least once  =  1/3

 Aug 15, 2021
 #2
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Correction:

 

The possible outcomes are:

1, 5

2, 4

3, 3

4, 2

5, 1

 

And of these 5 possible outcomes, there is 1 where the number three appears at least once.

So the probability that the number three appeared at least once  =  1/5

 

(Thank you Alan)

 Aug 16, 2021

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