Choose the correct answer from the given four options.If P(A)=4 5… - Vidyadip

MCQ

Choose the correct answer from the given four options.If $\text{P}(\text{A})=\frac{4}{5},$ and $\text{P}(\text{A}\cap\text{B})=\frac{7}{10},$ then $\text{P}\Big(\frac{\text{B}}{\text{A}}\Big)$ is equal to:

A
$\frac{1}{10}$
B
$\frac{1}{8}$
✓
$\frac{7}{8}$
D
$\frac{17}{20}$

✓

Answer

Correct option: C.

$\frac{7}{8}$

$\text{P}(\text{A})=\frac{4}{5},\ \text{P}(\text{A}\cap\text{B})=\frac{7}{10}$
$\therefore\text{P}\Big(\frac{\text{B}}{\text{A}}\Big)=\frac{\text{P}(\text{A}\cap\text{B})}{\text{P}(\text{A})}$
$=\frac{\frac{7}{10}}{\frac{4}{5}}=\frac{7}{8}$

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