Question

If two standard dice are rolled, what is the probability that the sum of the digits on the two dice is a prime number?

• A. $\frac{5}{6}$
• B. $\frac{5}{12}$
• C. $\frac{5}{26}$
• D. $\frac{4}{13}$

Answer 1

The correct option is B $\frac{5}{12}$

The total number of outcomes possible is $6\times 6=36$
The number of ways such that the sum on two dice is prime number is $1+2+4+6+2=15$
The probability is $\frac{15}{36}=\frac{5}{12}$