Question

You roll 2 dice. What is the probability that the sum of the dice is greater than 8 and that 1 die shows a 6?

Please help me!

Answer 1

Sample space has 6x6=36 possible outcomes.

of those, to have the sum greater than 8 with 1 die showing a 6 has the following possible outcomes:

(6,3) (6,4) (6,5) (6,6) (3,6) (4,6) (5,6)

So 7 possible outcomes. So the probability is:
\[\frac{ 7 }{36 }\]