Question

When two dice are thrown, what is the probability of getting the sum 7?

• A. \( \frac{5}{6} \)
• B. \( \frac{1}{6} \)
• C. \( \frac{5}{36} \)
• D. \( \frac{1}{9} \)

Hint:

To calculate the probability, divide the number of favorable outcomes by the total number of outcomes.

Answer 1

The Correct Option is B

When two dice are thrown, the total number of outcomes is: \[ 6 \times 6 = 36. \] The possible outcomes that give a sum of 7 are: \[ (1,6), (2,5), (3,4), (4,3), (5,2), (6,1), \] which are 6 outcomes. Therefore, the probability of getting a sum of 7 is: \[ P(\text{sum 7}) = \frac{6}{36} = \frac{1}{6}. \]