If A and B are two events associated to a random experiment such … - Vidyadip

MCQ

If $A$ and $B$ are two events associated to a random experiment such that $\text{P}(\text{A}\cap\text{B})=\frac{7}{10}$ and $\text{P(B)}=\frac{17}{20}$, then $P(A|B) =$

✓
$\frac{14}{17}$
B
$\frac{17}{20}$
C
$\frac{7}{8}$
D
$\frac{1}{8}$

✓

Answer

Correct option: A.

$\frac{14}{17}$

$\text{P}(\text{A}\cap\text{B})=-\frac{7}{10},\text{P(B)}=\frac{17}{20}$
$\text{P}\Big(\frac{\text{A}}{\text{B}}\Big)=\frac{\text{P}(\text{A}\cap\text{B})}{\text{P(B)}}$
$\text{P}\Big(\frac{\text{A}}{\text{B}}\Big)=\frac{\frac{7}{10}}{\frac{17}{20}}=\frac{14}{17}$

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