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NDA 2 2025 Maths, question 118

Topic: Probability

Q118

If P(A)=0.3P(A)=0.3, P(B)=0.4P(B)=0.4 and P(A∣B)=0.5P(A|B)=0.5, then what is the value of P(B∣A)P(B|A)?

  1. (a) 0.3250.325
  2. (b) 0.3330.333
  3. (c) 0.3750.375
  4. (d) 0.6670.667Correct answer

Solution.

Answer: (d) 0.6670.667

  1. P(A∩B)=P(A|B)P(B)=0.5×0.4=0.2.
  2. Then P(B|A)=0.2/0.3=2/3≈0.667, option (d).