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

 Jun 7, 2022
 #1
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The probability =   1  -    probability that a "3"  doesn't appear either time  =

 

1  - (5/6)^2   =  

 

1 - 25/36  =

 

11 / 36

 

cool cool cool

 Jun 7, 2022
 #2
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2 dice are being rolled and the sum of the outcomes is 6.

With 2 dice, there are 5 possibilities to have sum as 6, as shown below:

1 and 5

2 and 4

3 and 3

4 and 2

5 and 1

There’s only 1 possibility that the outcome(s) is / are 3.

Thus, the probability that 3 appeared at least once is:

No. of times 3 appeared / No. of times the sum is 6

= 1 / 5 = 20%

 Jun 7, 2022

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