Question

Two dice are rolled simultaneously. The probability that they show different faces is:

• A. $\frac{6}{5}$
• B. $\frac{1}{6}$
• C. $\frac{1}{3}$
• D. $\frac{5}{6}$

Answer 1

The correct option is D $\frac{5}{6}$

Probability = $\frac{Numberoffavourableoutcomes}{Totalnumberofoutcomes}$

Total outcomes = $36=\left(6^2\right)$

Same faces are (1, 1), (2, 2), (3, 3), (4, 4), (5, 5) and (6, 6).

Therefore, favourable outcomes = 36 - 6 = 30.

$\text{Probability that they show different faces}=\frac{30}{36}=\frac{5}{6}$