The GATE Grind

GATE Engineering Mathematics: Probability and Statistics – Previous Year Questions

8 GATE previous year questions on Probability and Statistics (Engineering Mathematics, Agricultural Engineering) with answers and explanations, from every paper.

  1. GATE 2021 AG Q23 (1 mark, Numerical answer) – P(A)=.35,P(B)=.25,and A, B are mutually exclusive. Find P(A A∪B),to three decimals.
  2. GATE 2021 AG Q49 (2 marks, Numerical answer) – A 9-person committee has 4 B.Tech,3 M.Tech,2 PhD students. Remove3 uniformly at random. Find probability exactly2 share a category and the third is…
  3. GATE 2022 AG Q12 (1 mark, Multiple choice) – Find the probability of 53 Sundays in a randomly selected leap year.
  4. GATE 2023 AG Q49 (2 marks, Numerical answer) – Convective storms occur with probability.7 and magnitude density f 1(x)=e-x for x>0. Cyclone storms have density f 2(x)=2e-2x. Find probability…
  5. GATE 2024 AG Q25 (1 mark, Numerical answer) – A dataset has mean16 and variance25. Find coefficient of variation in percent, to two decimals.
  6. GATE 2024 AG Q26 (1 mark, Numerical answer) – Threshers P, Q, R pass an endurance test with probabilities1/6,1/4,1/2. Find probability at least one passes, as a fraction rounded to two decimals.
  7. GATE 2025 AG Q15 (1 mark, Multiple choice) – Find the median of 154,130,144,137,156,146,138,149,160,138.
  8. GATE 2026 AG Q12 (1 mark, Multiple choice) – A box contains one red and two blue balls. After each random draw, the ball is returned. The first two draws were blue. Find the probability the third…