Question

If the probability of an event E is $\frac{5}{16}$, then find the probability of complement of the event E.

• A. $\frac{5}{16}$
  
• B. $\frac{11}{16}$
  
• C. $\frac{1}{8}$
  

Answer 1

The correct option is B $\frac{11}{16}$


As we know that,
$P\left(E\right)+P\left(\overline{E}\right)=1$

Given, $P\left(E\right)=\frac{5}{16}$

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

$P\left(\overline{E}\right)=1-\frac{5}{16}$

$P\left(\overline{E}\right)=\frac{11}{16}$

The probability of complement of the event E $=P\left(\overline{E}\right)=\frac{11}{16}$