Question

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.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the probability of rolling a sum less than 9, we first need to identify all the possible outcomes that result in a sum less than 9 when rolling two six-sided dice.

The possible outcomes with a sum less than 9 are:
(1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2), (3,3), (4,1), (4,2), (5,1)

There are a total of 15 outcomes that result in a sum less than 9.
There are a total of 36 possible outcomes when rolling two standard 6-sided dice.

Therefore, the probability of rolling a sum less than 9 is:
P(sum < 9) = 15/36 = 5/12 ≈ 0.4167

So, the probability of rolling a sum less than 9 is 5/12 or approximately 0.4167 when rounded to four decimal places.