If two dice are rolled, what is the probability that their sum will be a number greater than 5?

[A] 1/6
[B] 1/3
[C] 13/18
[D] 5/6
[E] None of these

I think it's [C], but that's just a wild guess.

Rolls >5.

2,4
4,2
2,5
5,2
2,6
6,2
3,3
3,4
4,3
3,5
5,3
3,6
6,3
4,4
4,5
4,6
6,4
5,4
5,5
5,6
6,5
6,6

Are all the possibilities included?

22/36 = ?

@PsyDAG

Um.....
You forgot just two, but's that okay:
1+6=6
6+1=6

22/36, reduced down equals 11/18.
But with the two that you missed, it equals 13/18.

@PsyDAG

At least I think..... it euqals 13/18
x(
Gah! This math stuff

Sorry that I omitted 2. However, that would bring it to 24/36 = 12/18 = 2/3. If we omitted another two, it would be 26/36 = 13/18.

Sorry that I omitted 2. However, that would bring it to 24/36 = 12/18 = 2/3. If we omitted another two, like 1,5 and 5,1, it would be 26/36 = 13/18.

To find the probability of getting a sum greater than 5 when two dice are rolled, we need to determine the favorable outcomes and the total number of possible outcomes.

1. First, let's list all the possible outcomes when two dice are rolled. Each die can have 6 possible outcomes (1, 2, 3, 4, 5, or 6). So, the total number of outcomes is 6 * 6 = 36.

2. Next, let's determine the favorable outcomes, i.e., the outcomes where the sum of the two dice is greater than 5.

The possible outcomes for each die that would result in a sum greater than 5 are as follows:
- Die 1: 2, 3, 4, 5, 6
- Die 2: 4, 5, 6

To find the favorable outcomes, we need to multiply the number of favorable outcomes for each die.

Number of favorable outcomes = Number of favorable outcomes for die 1 * Number of favorable outcomes for die 2 = 5 * 3 = 15.

3. Now, we can calculate the probability of getting a sum greater than 5 by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability = Number of favorable outcomes / Total number of possible outcomes = 15 / 36 = 5/12.

So, the correct answer is not listed among the options provided. The probability of getting a sum greater than 5 when two dice are rolled is 5/12.