Class 12 Probability · Assertion Reason1 Marksconditional_probability
Class 12 Maths · Probability · Assertion Reason #29
Assertion (A): If P(A)=3/8, P(B)=5/8, P(A∪B)=3/4, then P(A′|B′)=2/3.
Reason (R): P(A∪B)=P(A)+P(B)−P(A∩B).
✅ Step-by-Step Solution
Final Answer: Option (B): Both A and R are true, but R does not correctly explain A.
- P(A′∩B′)=1−3/4=1/4 and P(B′)=3/8, so the quotient is 2/3. R is true, but the complement and conditional rules give A directly.
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