NCERT Class 12 · Ch 13 Exercise 13.1 · Q1
NCERT Class 12 Maths · Chapter 13 Probability · Exercise 13.1 Question 1
P(E)=0.6, P(F)=0.3, P(E∩F)=0.2. Find P(E|F),P(F|E).
💡 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: 2/3 and 1/3.
- Conditional probability is P(E|F)=P(E∩F)/P(F), provided P(F)>0.
- Thus P(E|F)=0.2/0.3=2/3 and P(F|E)=0.2/0.6=1/3.
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