NCERT Class 12 · Ch 13 Exercise 13.2 · Q18
NCERT Class 12 Maths · Chapter 13 Probability · Exercise 13.2 Question 18
Which condition guarantees independence of 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: B: P(A′∩B′)=[1−P(A)][1−P(B)].
- Expand P(A′∩B′)=1−P(A)−P(B)+P(A∩B).
- Comparing with (1−P(A))(1−P(B)) cancels the first three terms and gives P(A∩B)=P(A)P(B), exactly independence.
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