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Questions › Statistics › Probability and Bayes' theorem

Probability and Bayes' theorem: previous year questions

Asked 4 times in 2 exams across 2 years. Newest first.

Practise Probability and Bayes' theorem, easy to hard →

  1. IIT JAM 2022 Q25The probability of getting a head in a toss of a biased coin is 2/3. The coin is tossed three times independently. The probability of getting heads…
  2. GATE 2021 Q21Let A and B be two events with probabilities P(A)=3/4 and P(B)=1/3; then which of the following options is true?
  3. IIT JAM 2021 Q24X and Y have joint density f_(X,Y)(x,y) = 6xy for 0 < y ≤ √x ≤ 1 and 0 otherwise. Then the conditional probability P(Y ≥ 1/3 | X = 2/3) is
  4. IIT JAM 2021 Q41Three independent rolls of a fair die determine winnings: Rs. 800 for three sixes, Rs. 400 for two sixes, Rs. 100 for exactly one six, and nothing…