Two dice are thrown at the same time ..what is the the probability that the sum will be 7 or 11

1 answer

To find the probability that the sum will be 7 or 11 when two dice are thrown at the same time, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.

Possible outcomes when two dice are thrown: 6 * 6 = 36 (as each die has 6 possible outcomes: 1, 2, 3, 4, 5, 6)

Now let's determine the favorable outcomes:

For the sum to be 7, the possible combinations are:
(1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1) -> total of 6 combinations

For the sum to be 11, the only combination is:
(5, 6) -> 1 combination

Total number of favorable outcomes = 6 + 1 = 7

Therefore, the probability that the sum will be 7 or 11 is 7/36 or approximately 0.1944 or 19.44%.