Question

At a carnival, you pay $5 to roll two fair six-sided dice. What is the probability of rolling a sum of 7?

A) 1/6
B) 1/8
C) 1/12
D) 1/36

Answer 1

The probability of rolling a sum of 7 when rolling two fair six-sided dice is 1/6.

Step-by-step explanation:

To find the probability of rolling a sum of 7, we need to determine the number of ways to roll a 7 and divide it by the total number of possible outcomes.

There are a total of 36 possible outcomes when rolling two fair six-sided dice (6 outcomes for the first die multiplied by 6 outcomes for the second die).

There are 6 ways to roll a sum of 7:

1. Roll a 1 on the first die and a 6 on the second die
2. Roll a 2 on the first die and a 5 on the second die
3. Roll a 3 on the first die and a 4 on the second die
4. Roll a 4 on the first die and a 3 on the second die
5. Roll a 5 on the first die and a 2 on the second die
6. Roll a 6 on the first die and a 1 on the second die

Therefore, the probability of rolling a sum of 7 is 6/36, which simplifies to 1/6.