Question

If $P\left(\overline{E}\right)=\frac{9}{73}$, then find the value of $2\times P\left(E\right)$.

• A. $\frac{66}{73}$
• B. $\frac{132}{73}$
• C. $\frac{73}{66}$
• D. $\frac{73}{132}$

Answer 1

The correct option is B $\frac{132}{73}$

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

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

Given, $P\left(\overline{E}\right)=\frac{9}{73}$

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

$P\left(E\right)=1-\frac{9}{73}$

$P\left(E\right)=\frac{66}{73}$

$2\times P\left(E\right)=2\times \frac{66}{73}$

$2\times P\left(E\right)=\frac{132}{73}$