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Class 12 Probability · Short Answer2 Marksconditional_probability

Class 12 Maths · Probability · Short Answer #100

In a hostel 60% read a Hindi newspaper,40% an English newspaper,and20% both. Given a uniform student reads English, find P(also reads Hindi).

✅ Step-by-Step Solution

Final Answer: 1/2
  1. Let H,E denote the two readership events. Given P(H∩E)=0.2 and P(E)=0.4.
  2. By conditional probability, P(H|E)=P(H∩E)/P(E)=0.2/0.4.
  3. Thus P(H|E)=1/2.

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] Let H,E denote the two readership events. Given P(H∩E)=0.2 and P(E)=0.4.
  • [1 mark] By conditional probability, P(H|E)=P(H∩E)/P(E)=0.2/0.4.
  • [0.5 marks] Thus P(H|E)=1/2.

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