Question

If $P\left(A\right)$ and $P\left(\overline{A}\right)$ are complementary events and $P\left(A\right)$ = 0.15, then $P\left(\overline{A}\right)$= ?

• A. 0.35
• B. 0.3
• C. 0.85
• D. -0.15

Answer 1

The correct option is C

0.85

Given,

$P\left(A\right)=0.15$
Since $P\left(A\right)$ and $P\left(\overline{A}\right)$ are complementary events,

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

Because the sum of probabilities of an event and its complementary event is always 1.

$\Rightarrow$$P\left(\overline{A}\right)$ = $1–P\left(A\right)$ = 1 – 0.15 = 0.85