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 Outcomes The total number of possible outcomes when rolling two dice is calculated as \( 6 \times 6 = 36 \).

Step 2: Favorable Outcomes The outcomes that result in a sum of 7 are \( (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1) \). There are 6 such favorable outcomes.

Step 3: Probability Calculation The probability of the sum being 7 is the ratio of favorable outcomes to the total number of outcomes: \( P(\text{sum} = 7) = \frac{6}{36} = \frac{1}{6} \).

Answer: The probability is \( \frac{1}{6} \), corresponding to option (1).