Question

In a game, you wrote two fair six sided dice what is the probability that the sum of the numbers wrote is seven or 11?

Answer 1

To calculate the probability of getting a sum of seven or 11 when rolling two fair six-sided dice, we first need to determine all the possible ways of getting these sums.

There are 6 ways to get a sum of 7:
(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)

There are 2 ways to get a sum of 11:
(5,6), (6,5)

So, there are a total of 6 + 2 = 8 ways to get a sum of seven or 11 when rolling two fair six-sided dice.

The total number of possible outcomes when rolling two dice is 6 * 6 = 36

Therefore, the probability of getting a sum of seven or 11 is:
P(sum of 7 or 11) = 8/36 = 2/9 ≈ 0.2222

So, the probability of getting a sum of seven or 11 when rolling two fair six-sided dice is approximately 0.2222 or 22.22%.