A standard pair of six-sided dice is rolled. What is the probability of rolling a sum less than 9
? Express your answer as a fraction or a decimal number rounded to four decimal places.
you left out 2,6
so there are 22 outcomes
Apologies for the oversight. You are correct.
There are a total of 22 outcomes that result in a sum less than 9.
Therefore, the probability of rolling a sum less than 9 is:
22/36 = 0.6111 (rounded to four decimal places)
There are a total of 36 possible outcomes when rolling two six-sided dice.
To find the probability of rolling a sum less than 9, we must count the number of outcomes that result in a sum less than 9.
The possible outcomes with a sum less than 9 are as follows:
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5)
(3, 1), (3, 2), (3, 3), (3, 4)
(4, 1), (4, 2), (4, 3)
(5, 1), (5, 2)
(6, 1)
There are a total of 21 outcomes that result in a sum less than 9.
Therefore, the probability of rolling a sum less than 9 is:
21/36 = 0.5833 (rounded to four decimal places)