NCERT Class 12 · Ch 13 Exercise 13.2 · Q8
NCERT Class 12 Maths · Chapter 13 Probability · Exercise 13.2 Question 8
Independent A,B have P(A)=0.3,P(B)=0.4. Find (i) intersection, (ii) union, (iii) P(A|B), (iv) P(B|A).
💡 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) 3/25; (ii) 29/50; (iii) 3/10; (iv) 2/5.
- The intersection is 0.3·0.4=0.12=3/25. The union is 0.3+0.4−0.12=0.58=29/50.
- Independence leaves positive-probability conditioning unchanged: P(A|B)=P(A)=0.3 and P(B|A)=P(B)=0.4.
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