Question

What is the probability of rolling a number less than or equal to 8 with the sum of two dice, given that at least one of the dice must show a 6?

Answer 1

Given that one die is a 6. So for the sum of the dice to be less than or equal to 8, the other die must be equal to or less than 2.

And the probability of roll a two or less is:

P(≤2)=2/6=1/3

Answer 2

`|\Omega|=6^2=36\\ |A|=4\\\\ P(A)=(4)/(36)=(1)/(9)\approx11\%`