What is the probability of rolling a sum of 9
on a standard pair of six-sided dice? Express your answer as a fraction or a decimal number rounded to three decimal places, if necessary.
The total number of possible outcomes when rolling two six-sided dice is 36 (6 possibilities for the first die multiplied by 6 possibilities for the second die).
We need to determine how many of these outcomes result in a sum of 9. These combinations are:
- (3, 6)
- (4, 5)
- (5, 4)
- (6, 3)
Therefore, there are 4 successful outcomes out of 36 total outcomes.
The probability of rolling a sum of 9 is:
4/36 = 1/9 ≈ 0.111