Question

What is the probability that an event will not occur if the probability of it occurring is $0.3?$

• A. $0.3$
• B. $0.5$
• C. $0.7$
• D. None of the above

Answer 1

The correct option is C $0.7$

$\underset{–}{\text{Given}:}$
Probability of occurrence of an event, $\text{P}\left(E\right)=0.3$

$\therefore$ Probability of non-occurrence of an event, $\text{P}\left(\overline{E}\right)=1-\text{P}\left(E\right)$

$(\because \text{Complement Rule:}\text{P}(\overline{E})=1-\text{P}(E\left)\right)$

$\Rightarrow \text{P}\left(\overline{E}\right)=1-0.3$

$\Rightarrow \text{P}\left(\overline{E}\right)=0.7$

Hence, the the probability that event will not occur is $0.7$.

Therefore, option (c.) is the correct choice..