Question

If the probability of getting $5$ on a fair dice is $\frac{1}{6}$, then what would be the value of sum of Probability of getting $5$ and Probability of not getting $5$?

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

Answer 1

The correct option is C $1$

$\underset{–}{ConceptInvolved:}$

The sum of the probability of an event and the probability of its compliment is equal to 1.

$\underset{–}{Method:}$

We are given with Probability of getting $5$ as $\frac{1}{6}$.


Probability of not getting $5$ would be $\frac{5}{6}$ since except $5$ there are five numbers available on the dice namely $1,2,3,4$ and $6$.

Probability of getting $5$ + Probability of not getting $5$
$=\frac{1}{6}+\frac{5}{6}=1$