A standard pair of six-sided dice is rolled. What is the probability of rolling a sum less than or equal to 4
? Express your answer as a fraction or a decimal number rounded to four decimal places
There are a total of 36 possible outcomes when rolling two six-sided dice (6 possibilities for the first die and 6 possibilities for the second die).
To find the number of outcomes where the sum of the two dice is less than or equal to 4, we need to count the outcomes where the sum is 2, 3, or 4. These are the following outcomes:
(1, 1), (1, 2), (2, 1)
So there are 3 favorable outcomes out of 36 total outcomes.
Therefore, the probability of rolling a sum less than or equal to 4 is:
3/36 = 1/12 ≈ 0.0833
Rounded to four decimal places, the probability is approximately 0.0833.