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

To determine the probability of rolling a sum of 7 with two six-sided dice, we first need to identify all the possible outcomes that produce this sum.

When rolling two dice, there are a total of 6 sides on the first die and 6 sides on the second die, leading to 36 possible combinations (6 x 6 = 36). To find specific combinations that sum to 7, we can list them:

• Die 1 shows 1, Die 2 shows 6: (1, 6)

• Die 1 shows 2, Die 2 shows 5: (2, 5)

• Die 1 shows 3, Die 2 shows 4: (3, 4)

• Die 1 shows 4, Die 2 shows 3: (4, 3)

• Die 1 shows 5, Die 2 shows 2: (5, 2)

• Die 1 shows 6, Die 2 shows 1: (6, 1)

Counting these combinations reveals there are 6 different ways to roll a sum of 7.

Now, we calculate the probability of rolling a sum of 7 by taking the number of successful