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NCERT Class 12 · Ch 13 Exercise 13.2 · Q16

NCERT Class 12 Maths · Chapter 13 Probability · Exercise 13.2 Question 16

A hostel has 60% Hindi-newspaper readers, 40% English, 20% both. Find (a) neither, (b) P(English|Hindi), (c) P(Hindi|English).
Newspaper readers: H and E event cells
Newspaper readers: H and E event cells

💡 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: (a) 1/5; (b) 1/3; (c) 1/2.
  1. The union is 0.6+0.4−0.2=0.8, so neither has probability 0.2=1/5.
  2. P(E|H)=0.2/0.6=1/3, while P(H|E)=0.2/0.4=1/2.

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