Question
If $P(A \cap B) = \frac{7}{{10}}$ and $P(B) = \frac{{17}}{{20}}$, then $P(A/B)$ equals to
- (a) $\frac{{14}}{{17}}$ ✓ Correct
- (b) $\frac{{17}}{{20}}$
- (c) $\frac{7}{8}$
- (d) $\frac{1}{8}$
Probability — Class 12 Maths Solution
Step-by-step Solution
Here, $P(A \cap B) = \frac{7}{{10}}$ and $P(B) = \frac{{17}}{{20}}$
$\therefore$ $P(A/B) = \frac{{P(A \cap B)}}{{P(B)}} = \frac{{7/10}}{{17/20}} = \frac{{14}}{{17}}$
NCERT & Exemplar solution for CBSE Class 12 Mathematics, Probability. Curated by Sachin Sharma. Free for all students.