Question

A standard pair of six sided dice is rolled. What is the probability of rolling a sum less than or equal to 7?

1) 1/6
2) 1/3
3) 1/2
4) 2/3

Answer 1

The probability of rolling a sum less than or equal to 7 with a pair of six-sided dice is 17/36.

Step-by-step explanation:

To determine the probability of rolling a sum less than or equal to 7 with a pair of six-sided dice, we need to find the number of favorable outcomes and divide it by the total number of possible outcomes.

There are 36 possible outcomes when rolling two six-sided dice, as each die has 6 possible outcomes.

To find the number of favorable outcomes, we need to count the number of outcomes where the sum of the numbers rolled is less than or equal to 7. This includes the outcomes (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), (5, 2), and (6, 1). There are 17 favorable outcomes.

The probability of rolling a sum less than or equal to 7 is given by dividing the number of favorable outcomes by the total number of possible outcomes:

P(sum ≤ 7) = 17/36 = 17/36