NCERT Class 12 · Ch 13 Exercise 13.3 · Q14
NCERT Class 12 Maths · Chapter 13 Probability · Exercise 13.3 Question 14
If A⊂B and P(B)≠0, which conclusion is correct?
💡 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: C: P(A|B)≥P(A).
- Since A is contained in B, P(A∩B)=P(A), so P(A|B)=P(A)/P(B).
- Because 0<P(B)≤1, dividing the nonnegative P(A) by P(B) cannot decrease it.
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