A standard pair of six-sided dice is rolled. What is the probability of rolling a sum less than or equal to 6
? 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 sides on each die).
To find the number of outcomes where the sum is less than or equal to 6, we can list out the pairs that satisfy this condition:
(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), (5,1), (5,6), (6,1)
There are a total of 20 outcomes where the sum is less than or equal to 6.
So, the probability of rolling a sum less than or equal to 6 is:
Number of favorable outcomes / Total number of possible outcomes = 20/36 = 5/9 ≈ 0.5556
Therefore, the probability of rolling a sum less than or equal to 6 is approximately 0.5556.