Probability Math Example 2

Follow the full solution, then compare it with the other examples linked below.

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

7

1
Total outcomes when rolling two dice: $6 \times 6 = 36$ .
2
List pairs that sum to $7$ : $(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)$ . There are $6$ such pairs.
3
Probability: $P(\text{sum} = 7) = \frac{6}{36} = \frac{1}{6}$ .

Answer

P(\text{sum} = 7) = \frac{1}{6}

When dealing with two independent events, multiply the individual sample spaces to get the total outcomes, then count favorable cases systematically.

About Probability

Probability is a number between 0 and 1 (inclusive) that measures how likely an event is to occur, where 0 means impossible and 1 means certain.

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