NCERT Class 12 · Ch 13 Exercise 13.2 · Q11
NCERT Class 12 Maths · Chapter 13 Probability · Exercise 13.2 Question 11
Independent A,B have P(A)=0.3,P(B)=0.6. Find (i) both, (ii) A and not B, (iii) at least one, (iv) neither.
💡 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) 9/50; (ii) 3/25; (iii) 18/25; (iv) 7/25.
- Both: 0.3·0.6=0.18. A but not B: 0.3·0.4=0.12.
- Union: 0.3+0.6−0.18=0.72. Neither: 0.7·0.4=0.28.
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