What is the probability of rolling a sum of 7 with two six-sided dice?

What is the probability of rolling a sum of 7 with two six-sided dice?

• A. 1/8
• B. 1/6
• C. 1/12
• D. 1/36

Answer: (B)

To determine the probability of rolling a sum of 7 with two six-sided dice, we first need to consider the total number of possible outcomes. Each die has 6 faces, resulting in a total of 6 x 6 = 36 outcomes when rolling two dice. Next, we identify the combinations of numbers on the two dice that result in a sum of 7. The possible combinations are as follows: 1. (1, 6) 2. (2, 5) 3. (3, 4) 4. (4, 3) 5. (5, 2) 6. (6, 1) Counting these combinations, we find there are 6 ways to achieve a sum of 7. To find the probability, we divide the number of favorable outcomes by the total number of outcomes. Thus, the probability of rolling a sum of 7 is the number of successful outcomes (6) divided by the total outcomes (36): \[ \text{Probability} = \frac{6}{36} = \frac{1}{6} \] This calculation shows that the probability of rolling a sum of 7 with two six-sided dice is indeed 1/6, verifying

To determine the probability of rolling a sum of 7 with two six-sided dice, we first need to consider the total number of possible outcomes. Each die has 6 faces, resulting in a total of 6 x 6 = 36 outcomes when rolling two dice.

Next, we identify the combinations of numbers on the two dice that result in a sum of 7. The possible combinations are as follows:

1. (1, 6)

2. (2, 5)

3. (3, 4)

4. (4, 3)

5. (5, 2)

6. (6, 1)

Counting these combinations, we find there are 6 ways to achieve a sum of 7.

To find the probability, we divide the number of favorable outcomes by the total number of outcomes. Thus, the probability of rolling a sum of 7 is the number of successful outcomes (6) divided by the total outcomes (36):

[

\text{Probability} = \frac{6}{36} = \frac{1}{6}

]

This calculation shows that the probability of rolling a sum of 7 with two six-sided dice is indeed 1/6, verifying