NCERT Class 12 · Ch 13 Exercise 13.2 · Q9
NCERT Class 12 Maths · Chapter 13 Probability · Exercise 13.2 Question 9
P(A)=1/4,P(B)=1/2,P(A∩B)=1/8. Find P(A′∩B′).
💡 Concept Hints
- Define the events and identify which event is being conditioned on.
- Use P(E|F)=P(E∩F)/P(F), or separate the possible sources before applying total probability and Bayes.
✅ Step-by-Step Solution
Final Answer: 3/8.
- By De Morgan, A′∩B′ is the complement of A∪B.
- P=1−P(A)−P(B)+P(A∩B)=1−1/4−1/2+1/8=3/8.
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