Question

Two dice are rolled simultaneously. The probability that the sum of the two numbers on the top faces will be at least 10 is

• A. $\frac{1}{6}$
• B. $\frac{1}{12}$
• C. $\frac{1}{118}$
• D. None

Answer 1

The correct option is A

$\frac{1}{6}$

We will first find the total number of cases, then the total number of favorable outcomes.

We do this because we know that the probability can be found as

$P\left(A\right)=\frac{numberoffavorableoutcomes}{totaloutcomes}$

When we throw a pair of dice, the total number of outcomes in 36

[Starting from (1,1),(1,2)....(1,6)....(5,6),(6,1),....(6,6)]

Wehave to find those outcomes where the sum of the digits is at least 10.

These outcomes are (4,6),(5,5),(6,4),(5,6),(6,5) and (6,6)

$\Rightarrow$ Probability =$\frac{6}{36}$

$=\frac{1}{6}$