The sum of two dice rolls is 6. What is the probability that the number 3 appeared at least once?
The probability = 1 - probability that a "3" doesn't appear either time =
1 - (5/6)^2 =
1 - 25/36 =
11 / 36
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%