Question

Two dice are thrown at the same time. Find the probability of getting different numbers on the dice.

• A. $\frac{2}{3}$
• B. $\frac{5}{6}$
• C. $\frac{1}{6}$
• D. $\frac{1}{3}$

Answer 1

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

Total number of outcomes = 36
Outcomes with the same number appearing on both the dice = {(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)}
$\therefore$ Number of favourable outcomes = 6

For an event$\text{E, Probability P(E)}$ = $\frac{\text{Number of outcomes favorable to E}}{\text{Number of all possible outcomes of the experiment}}$

$\therefore$ P(Same number appearing on both the dice)$=\frac{6}{36}=\frac{1}{6}$
$\therefore$ P(Different number appearing on both dice) $=1-\frac{1}{6}=\frac{5}{6}$