MCQ
Let $E$ be an event such that $P (\operatorname{not} E )=\frac{1}{5}$, then $P ( E )$ is equal to :
- A$\frac{1}{5}$
- B$\frac{2}{5}$
- C$0$
- ✓$\frac{4}{5}$
✓
Answer
Correct option: D.
$\frac{4}{5}$
$(d)$
$\text {} P (\text { not } E )=\frac{1}{5}$
$1- P ( E )=\frac{1}{5}(\text { since } P (\text { not } E )=1- P ( E ))$
$P ( E )=1- P (\text { not } E )$
$P ( E )=1-\frac{1}{5}$
$P ( E )=\frac{4}{5} \text {. }$
$\text {} P (\text { not } E )=\frac{1}{5}$
$1- P ( E )=\frac{1}{5}(\text { since } P (\text { not } E )=1- P ( E ))$
$P ( E )=1- P (\text { not } E )$
$P ( E )=1-\frac{1}{5}$
$P ( E )=\frac{4}{5} \text {. }$
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