GATE Engineering Mathematics: Probability and Statistics: Probability, conditional probability, descriptive statistics – Previous Year Questions

7 GATE previous year questions on Probability and Statistics: Probability, conditional probability, descriptive statistics (Engineering Mathematics, Civil Engineering) with answers and explanations, from every paper.

GATE 2023 CE (CE1) Q29 (1 mark, Numerical answer) – The probabilities of occurrences of two independent events A and B are 0.5 and 0.8, respectively. What is the probability of occurrence of at least A…
GATE 2024 CE (CE2) Q36 (2 marks, Multiple choice) – In a sample of 100 heart patients, each patient has 80% chance of having a heart attack without medicine X. It is clinically known that medicine X…
GATE 2024 CE (CE1) Q13 (1 mark, Multiple choice) – The probability that a student passes only in Mathematics is 13. The probability that the student passes only in English is 49. The probability that…
GATE 2025 CE (CE2) Q22 (1 mark, Multiple select) – Given that A and B are not null sets, which of the following statements regarding probability is/are CORRECT?
GATE 2025 CE (CE1) Q14 (1 mark, Multiple choice) – X is a random variable that can take any one of the values 0, 1, 7, 11, and 12. The probability mass function for X is P(X = 0) = 0.4; P(X = 1) = 0.3;…
GATE 2025 CE (CE1) Q63 (2 marks, Numerical answer) – A one-way, single lane road has traffic that consists of 30% trucks and 70% cars. The speed of trucks (in km/h) is a uniform random variable on the…
GATE 2026 CE (CE1) Q26 (1 mark, Numerical answer) – Bag I contains 4 white and 6 black balls. Bag II contains 4 white and 3 black balls. One ball is drawn at random from any one of the two bags and it…