Question

Two dice are thrown simultaneously. The probability of getting a doublet or a total of $4$ is ____________.

• A. $\frac{2}{9}$
• B. $\frac{3}{7}$
• C. $\frac{4}{9}$
• D. $\frac{5}{9}$

Answer 1

The correct option is A $\frac{2}{9}$

Possible outcomes on rolling two dices are $36$

Out of the possible outcomes, chances of getting a doublet are $6$ i.e. $1,1;2,2;3,3;4,4;5,5;6,6$

Also, cases other than the doublet $2,2$ where sum of dice is $4$ are $1,3$ and $3,1$.

$\Rightarrow$ Number of Favourable Outcomes $=8$

Probability $=$ Favourable Outcomes $÷$ Total Outcomes $=\frac{8}{36}=\frac{2}{9}$