Probability — Class 12 Maths Solution

exemplar objective MCQ NCERT,Exemp,Q.61,Page.280
Question

If $P(A) = 0.4,P(B) = 0.8$ and $P(B/A) = 0.6$, then $P(A \cup B)$ is equal to

  • (a) 0.24
  • (b) 0.3
  • (c) 0.48
  • (d) 0.96 ✓ Correct
Step-by-step Solution
Correct answer: option (d)

Here, $P(A) = 0.4,P(B) = 0.8$ and $P(A/B) = 0.6$

$\Rightarrow$ $P(B \cap A) = P(B/A) \cdot P(A)$
$= 0.6 \times 0.4 = 0.24$

$= 0.4 + 0.8 - 0.24$
$= 1.2 - 0.24 = 0.96$

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