Question

The probability of getting a total of $11$ points once in two tosses of a pair of dice is

• A. $\frac{17}{18}$
• B. $\frac{1}{18}$
• C. $\frac{17}{162}$
• D. $\frac{1}{162}$

Answer 1

The correct option is C $\frac{17}{162}$

Probability of occuring of $11$ is $=\frac{1}{6}\ast \frac{1}{6}\ast 2$

$=\frac{1}{18}$

Probability of not occuring of $11=\frac{17}{18}$

Hence the probability of occuring of 11 exactly once in two throw of pair of dices $=\frac{1}{18}\ast \frac{17}{18}\ast 2=\frac{17}{162}$