Question

A pair of dice is thrown. If the sum of numbers that turned up on the two dice is $8$, then the probability that the number upon the second die is $5$ is ?

• A. $\frac{5}{36}$
• B. $\frac{1}{6}$
• C. $\frac{1}{5}$
• D. $\frac{2}{5}$

Answer 1

The correct option is C $\frac{1}{5}$

Given that the sum is $8$, the possibilities of the numbers on the dice are:

$(2,6),(3,5),(4,4),(5,3),(6,2)$. That is, 5 possibilities out of only one has $5$ on the second die.

Therefore, probability= $\frac{1}{5}$