Question

If two dice are rolled, what is the probability of getting a sum of 7?

• A. \( \frac{1}{6} \)
• B. \( \frac{1}{36} \)
• C. \( \frac{5}{36} \)
• D. \( \frac{1}{3} \)

Hint:

Remember: For probability problems involving dice, first calculate the total number of outcomes and then the number of favorable outcomes.

Answer 1

The Correct Option is A

Step 1: Total number of outcomes When two dice are rolled, the total number of outcomes is: \[ 6 \times 6 = 36 \] 

Step 2: Favorable outcomes The favorable outcomes where the sum is 7 are: \[ (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1) \] So, there are 6 favorable outcomes. 

Step 3: Calculate the probability The probability is the ratio of favorable outcomes to total outcomes: \[ P(\text{sum} = 7) = \frac{6}{36} = \frac{1}{6} \] 

Answer: The correct answer is option (1): \( \frac{1}{6} \).