To determine the probability of rolling a sum of 5 with two regular six-sided dice, we need to assess all the possible outcomes when the dice are rolled and how many of those outcomes result in a sum of 5.
When rolling two six-sided dice, each die can land on a number between 1 and 6. This means there are a total of 6 x 6 = 36 possible outcomes when rolling two dice.
Next, we’ll enumerate the combinations that yield a sum of 5:
- (1, 4)
- (2, 3)
- (3, 2)
- (4, 1)
From the list above, there are 4 combinations that result in a sum of 5.
Now, we can calculate the probability:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
So in our case, it would be:
Probability = 4 / 36
This fraction can be simplified:
4 / 36 = 1 / 9
Therefore, the probability of rolling a sum of 5 with two six-sided dice is 1/9, which is approximately 0.1111, or about 11.11%.
This means that when you roll two dice, there is an 11.11% chance that you will get a sum of 5.