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NCERT Class 12 · Ch 13 Exercise 13.2 · Q6

NCERT Class 12 Maths · Chapter 13 Probability · Exercise 13.2 Question 6

P(E)=3/5,P(F)=3/10,P(E∩F)=1/5. Are E,F independent?

💡 Concept Hints

  1. Define the events and identify which event is being conditioned on.
  2. 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: No.
  1. The product of the marginals is (3/5)(3/10)=9/50.
  2. The supplied intersection is 1/5=10/50, which differs from that product.

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