Choose the correct answer from the given four options.If P(A )=7 … - Vidyadip

Question

Choose the correct answer from the given four options.If $\text{P}(\text{A}\cap\text{B})=\frac{7}{10},$ and $\text{P}(\text{B})=\frac{17}{20},$ then $\text{P}\Big(\frac{\text{A}}{\text{B}}\Big)$ equas:

$\frac{14}{17}$
$\frac{17}{20}$
$\frac{7}{8}$
$\frac{1}{8}$

✓

Answer

$\frac{14}{17}$

Solution:
Here, $\text{P}(\text{A}\cap\text{B})=\frac{7}{10}$ and $\text{P}(\text{B})=\frac{17}{20}$
$\therefore\text{P}\Big(\frac{\text{A}}{\text{B}}\Big)=\frac{\text{P}(\text{A}\cap\text{B})}{\text{P}(\text{B})}$
$=\frac{\frac{7}{10}}{\frac{17}{20}}=\frac{14}{17}$

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