In question 64 (above), P ( B/ A ) is equal to

P ( B/ A ) = ) P ( A ) = 1 - P(A) = 5 - 10 1 - 2 = 10 2 = 10 = 5

Probability — Class 12 Maths Solution

exemplar objective MCQ NCERT,Exemp,Q.65,Page.280

Question

In question 64 (above), $P\left( {B/{A^\prime }} \right)$ is equal to

(a) $\frac{1}{5}$
(b) $\frac{3}{{10}}$
(c) $\frac{1}{2}$
(d) $\frac{3}{5}$ ✓ Correct

Step-by-step Solution

$P\left( {B/{A^\prime }} \right) = \frac{{P\left( {B \cap {A^\prime }} \right)}}{{P\left( {{A^\prime }} \right)}} = \frac{{P(B) - P(B \cap A)}}{{1 - P(A)}}$

$= \frac{{\frac{3}{5} - \frac{3}{{10}}}}{{1 - \frac{1}{2}}} = \frac{{\frac{{6 - 3}}{{10}}}}{{\frac{1}{2}}} = \frac{6}{{10}} = \frac{3}{5}$

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