NCERT Class 12 · Ch 13 Exercise 13.1 · Q4
NCERT Class 12 Maths · Chapter 13 Probability · Exercise 13.1 Question 4
Find P(A∪B) if 2P(A)=P(B)=5/13 and P(A|B)=2/5.
💡 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: 11/26.
- P(A)=5/26, P(B)=5/13. Conditional probability gives P(A∩B)=(2/5)(5/13)=2/13.
- Use inclusion-exclusion: P(A∪B)=5/26+10/26−4/26=11/26.
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