To find the probability of rolling a sum of 5 with two six-sided dice, we first need to identify all the possible combinations of the two dice that would result in that sum.
The possible pairs of rolls that give a sum of 5 are:
- (1, 4)
- (2, 3)
- (3, 2)
- (4, 1)
So, there are 4 successful outcomes that result in a sum of 5.
Next, we calculate the total number of outcomes when rolling two dice. Each die has 6 faces, so the total number of combinations when rolling two dice is:
6 (for the first die) × 6 (for the second die) = 36 total outcomes.
Now, to find the probability of rolling a sum of 5, we divide the number of successful outcomes by the total number of outcomes:
P(sum of 5) = Number of successful outcomes / Total outcomes = 4 / 36 = 1 / 9
Therefore, the probability of rolling a sum of 5 with two 6-sided number cubes is 1/9.