NCERT Class 12 · Ch 13 Miscellaneous Exercise · Q1
NCERT Class 12 Maths · Chapter 13 Probability · Miscellaneous Exercise Question 1
P(A)≠0. Find P(B|A) if (i) A⊂B, (ii) 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: (i) 1; (ii) 0.
- By definition P(B|A)=P(A∩B)/P(A).
- In (i), intersection=A, giving 1. In (ii), the intersection is empty, giving 0.
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