Question

When two dice are thrown , what is the probability of getting a sum of 6?

• A. $\frac{1}{36}$
• B. $\frac{5}{12}$
• C. $\frac{5}{36}$
• D. $\frac{1}{3}$

Answer 1

The correct option is C

$\frac{5}{36}$

When two dice are thrown simultaneously, the total number of outcomes is $6^2$=36

The favourable outcome, in this case, is (1, 5), (5,1 ) , (2,4), (4,2 ) , (3,3) = 5 favourable outcomes

Hence the probability of getting a sum of 12 when two dice are thrown simultaneously = $\frac{\text{number of favourable outcomes}}{\text{total number of outcomes}}$ = $\frac{5}{36}$