What is the probability of rolling a sum of 7 with two six-sided dice? (2022)

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Question: What is the probability of rolling a sum of 7 with two six-sided dice? (2022)

Options:

Correct Answer: 5/36

Exam Year: 2022

Solution:

The combinations to get a sum of 7 are (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) = 6 ways. Total outcomes = 36. Probability = 6/36 = 1/6.

What is the probability of rolling a sum of 7 with two six-sided dice? (2022)

What is the probability of rolling a sum of 7 with two six-sided dice? (2022)

Step 1: Understand that we are rolling two six-sided dice.
Step 2: Identify all possible outcomes when rolling two dice. Each die has 6 faces, so the total outcomes are 6 (from the first die) multiplied by 6 (from the second die), which equals 36.
Step 3: List the combinations of the two dice that add up to 7. These combinations are: (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1).
Step 4: Count the number of combinations that give a sum of 7. There are 6 combinations.
Step 5: Calculate the probability by dividing the number of successful outcomes (6) by the total number of outcomes (36). This gives us 6/36.
Step 6: Simplify the fraction 6/36 to get 1/6.

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