Getting the sum 5 when two number cubes labelled 1 to 6 are rolled and the numbers are added

36 possible rolls

How many sum to five? Divide that number by 36.

It could help if you list all 36 of the possible outcomes, from 1-1 to 6-6 along with their sums

Sum Count Win
2 1 A
3 2 A
4 3 A
5 4 A
6 5
7 6
8 5
9 4 B
10 3 B
11 2 B
12 1 B

To get a sum of 5 when two number cubes labeled 1 to 6 are rolled and their numbers are added, you need to consider all the possible combinations:

1. One cube shows 2 and the other cube shows 3. (2 + 3 = 5)
2. One cube shows 3 and the other cube shows 2. (3 + 2 = 5)
3. One cube shows 1 and the other cube shows 4. (1 + 4 = 5)
4. One cube shows 4 and the other cube shows 1. (4 + 1 = 5)

These are the four possible combinations that will result in a sum of 5 when adding the numbers shown on two dice cubes labeled 1 to 6.

To find the probability of getting a sum of 5 when two number cubes labeled 1 to 6 are rolled, we need to determine the number of favorable outcomes and the total number of possible outcomes.

To find the number of favorable outcomes, we need to consider all the possible combinations that would result in a sum of 5. These combinations are:

(1, 4)
(2, 3)
(3, 2)
(4, 1)

So, there are four favorable outcomes.

Now, let's find the total number of possible outcomes when rolling two number cubes. Since each cube has 6 faces, there are 6 possible outcomes for the first cube and 6 possible outcomes for the second cube. Therefore, the total number of outcomes is 6 multiplied by 6, which is equal to 36.

To calculate the probability of getting a sum of 5, we divide the number of favorable outcomes (4) by the total number of possible outcomes (36):

Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes
Probability = 4 / 36
Probability = 1 / 9

Therefore, the probability of rolling a sum of 5 when two number cubes labeled 1 to 6 are rolled is 1/9.