Question

Which of the following options is correct?

• A. $P\left(E\right)=1+P\left(\overline{E}\right)$
• B. $P\left(\overline{E}\right)-P\left(E\right)=1$
• C. $P\left(E\right)+P\left(\overline{E}\right)=1$
• D. $P\left(E\right)\times P\left(\overline{E}\right)=1$

Answer 1

The correct option is C

$P\left(E\right)+P\left(\overline{E}\right)=1$

Sum of probability of two complimentary events is 1.
In probability, if E is an event, then we denote the event 'Not E' as $\overline{E}$.
$⟹$ The probability of event E = P(E) and the probability of event "Not E" = $P\left(\overline{E}\right)$
Therefore, $P\left(E\right)+P\left(\overline{E}\right)=1$