Question

Two dice are thrown at a time. The probability that the difference of the numbers shown on the dice is $1$ is __________.

• A. $\frac{5}{18}$
• B. $\frac{1}{36}$
• C. $\frac{1}{6}$
• D. $\frac{1}{18}$

Answer 1

The correct option is A $\frac{5}{18}$

Possible outcomes on rolling two dices are $36$

Out of the possible outcomes, chances of getting numbers with difference one are as follows : $2,1;3,2;4,3;5,4;6,5$ and vice versa in each case.

$\Rightarrow$ Number of favourable outcomes $=10$

Probability $=$ Favourable Outcomes $÷$ Total Outcomes $=\frac{10}{36}=\frac{5}{18}$