If P(A) = 13 , P(B) = 13 and P(A B) = 13 , then P ( A /B ) is equal to

Here, P(A) = 13 ,P(B) = 13 and P(A B) = 13 P ( A /B ) = B ) P(B) = P(B) = 13 - 13 13 = 13 13 = 9

Probability — Class 12 Maths Solution

exemplar objective MCQ NCERT,Exemp,Q.67,Page.280

Question

If $P(A) = \frac{7}{{13}}$, $P(B) = \frac{9}{{13}}$ and $P(A \cap B) = \frac{4}{{13}}$, then $P\left( {{A^\prime }/B} \right)$ is equal to

Step-by-step Solution

Here, $P(A) = \frac{7}{{13}},P(B) = \frac{9}{{13}}$ and $P(A \cap B) = \frac{4}{{13}}$

$\therefore$ $P\left( {{A^\prime }/B} \right) = \frac{{P\left( {{A^\prime } \cap B} \right)}}{{P(B)}} = \frac{{P(B) - P(A \cap B)}}{{P(B)}}$

$= \frac{{\frac{9}{{13}} - \frac{4}{{13}}}}{{\frac{9}{{13}}}} = \frac{{\frac{5}{{13}}}}{{\frac{9}{{13}}}} = \frac{5}{9}$

NCERT & Exemplar solution for CBSE Class 12 Mathematics, Probability. Curated by Sachin Sharma. Free for all students.