NCERT Class 12 · Ch 13 Exercise 13.2 · Q7
NCERT Class 12 Maths · Chapter 13 Probability · Exercise 13.2 Question 7
P(A)=1/2,P(A∪B)=3/5,P(B)=p. Find p if (i) mutually exclusive, (ii) independent.
💡 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) 1/10; (ii) 1/5.
- (i) Disjoint events have union 1/2+p=3/5, so p=1/10.
- (ii) Independence gives union 1/2+p−p/2=3/5, so p/2=1/10 and p=1/5.
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