You are rolling two dice at the same time. What is the probability of rolling a sum of 6 or 7?

The probability is 11/36, there are 36 possible ways of rolling a 2 dice, there are 11 possible ways of rolling a six or seven out of 36 possible rolls.

The probability = 11/36

Total number of outcomes = 36

Event E is when the sum of the two dice = 6

E={ (1,5), (2,4), (3,3), (4,2), (5,1) }

Total number of outcomes of getting 6 is = 5

Probability of event E

P (E) = 5/36

Event F is when the sum of the two dice = 7

F = { (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) }

Total number of outcomes of getting 7 is = 6

Probability of event F

P (F) = 6/36

Probability of getting a 6 or a 7

=5/36 + 6/36 = 11/36