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NCERT Class 12 · Ch 13 Exercise 13.1 · Q13

NCERT Class 12 Maths · Chapter 13 Probability · Exercise 13.1 Question 13

A bank has 300 easy T/F, 200 difficult T/F, 500 easy MCQ and 400 difficult MCQ questions. Find P(easy | MCQ) for a uniform question selection.

💡 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: 5/9.
  1. Conditioning on MCQ leaves 500+400=900 equally likely questions.
  2. Of these 500 are easy, so P=500/900=5/9.

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