Question

If $P\left(\overline{D}\right)=\frac{6}{17}$, then $P\left(D\right)=$

• A. $\frac{6}{17}$
• B. $\frac{9}{17}$
• C. $\frac{11}{17}$
• D. $\frac{10}{17}$

Answer 1

The correct option is C $\frac{11}{17}$

We know that,

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

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

$⟹P\left(D\right)=1-\frac{6}{17}$

$⟹P\left(D\right)=\frac{11}{17}$