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

Guest Jun 7, 2022

#1**+1 **

The probability = 1 - probability that a "3" doesn't appear either time =

1 - (5/6)^2 =

1 - 25/36 =

11 / 36

CPhill Jun 7, 2022

#2**0 **

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%**

Guest Jun 7, 2022