Two Dice Summing to Seven

Probability

Dice

Easy

Two fair dice are rolled. What is the probability that the sum is

7

Hint 1

List pairs $(a, b)$ with $a + b = 7$ .

Hint 2

There are six such pairs.

Show worked solution

1. Count
$\frac{6}{36} = \frac{1}{6}$
2. Key idea
Seven is the most likely sum: every first die value has exactly one partner.

Answer: 1/6

1. Count