Question
The table below shows all of the possible outcomes for rolling two six-sided number cubes.
A table containing 36 possible outcomes. There are 5 desired outcomes.
What is the probability of rolling a sum of 8?
StartFraction 1 over 12 EndFraction
StartFraction 5 over 36 EndFraction
StartFraction 1 over 6 EndFraction
StartFraction 7 over 36 EndFraction
A table containing 36 possible outcomes. There are 5 desired outcomes.
What is the probability of rolling a sum of 8?
StartFraction 1 over 12 EndFraction
StartFraction 5 over 36 EndFraction
StartFraction 1 over 6 EndFraction
StartFraction 7 over 36 EndFraction
Answers
GPT-4o mini
To find the probability of rolling a sum of 8 with two six-sided dice, we first need to identify the possible combinations of dice rolls that yield this sum.
The pairs of dice rolls that result in a sum of 8 are:
- (2, 6)
- (3, 5)
- (4, 4)
- (5, 3)
- (6, 2)
This gives us a total of 5 desired outcomes that result in a sum of 8.
Since there are 36 possible outcomes when rolling two six-sided dice (6 sides on the first die multiplied by 6 sides on the second die), we can calculate the probability by dividing the number of desired outcomes by the total number of outcomes:
\[
\text{Probability} = \frac{\text{Number of Desired Outcomes}}{\text{Total Outcomes}} = \frac{5}{36}
\]
Therefore, the probability of rolling a sum of 8 is:
\(\frac{5}{36}\)
The correct answer is \( \frac{5}{36} \).
The pairs of dice rolls that result in a sum of 8 are:
- (2, 6)
- (3, 5)
- (4, 4)
- (5, 3)
- (6, 2)
This gives us a total of 5 desired outcomes that result in a sum of 8.
Since there are 36 possible outcomes when rolling two six-sided dice (6 sides on the first die multiplied by 6 sides on the second die), we can calculate the probability by dividing the number of desired outcomes by the total number of outcomes:
\[
\text{Probability} = \frac{\text{Number of Desired Outcomes}}{\text{Total Outcomes}} = \frac{5}{36}
\]
Therefore, the probability of rolling a sum of 8 is:
\(\frac{5}{36}\)
The correct answer is \( \frac{5}{36} \).