GATE Probability and Statistics: Counting, probability axioms, conditional probability and Bayes theorem – Previous Year Questions
9 GATE previous year questions on Counting, probability axioms, conditional probability and Bayes theorem (Probability and Statistics, Data Science and Artificial Intelligence) with answers and explanations, from every paper.
- GATE 2024 DA Q12 – Three fair coins are tossed independently. T is the event that two or more tosses result in heads. S is the event that two or more tosses result in…
- GATE 2024 DA Q58 – Consider two events T and S. Let T denote the complement of the event T. The probability associated with different events are given as follows: P(T) =…
- GATE 2025 DA Q31 – There are three boxes containing white balls and black balls. Box-1 contains 2 black and 1 white balls. Box-2 contains 1 black and 2 white balls.…
- GATE 2025 DA Q45 – A random experiment consists of throwing 100 fair dice, each die having six faces numbered 1 to 6. An event A represents the set of all outcomes where…
- GATE 2026 DA Q19 – Let M be a randomly chosen non-empty subset of S = \1, 2, 3, , 2026\. Which of the following is the probability that the product of all the elements…
- GATE 2026 DA Q20 – Suppose that a computer program provides a non-negative and integer-valued random solution to the equation n 1 + n 2 + n 3 + n 4 = 20. Which of the…
- GATE 2026 DA Q33 – The number of bijections f() from the set S = \1, 2, 3, 4\ to itself such that f(f(n)) = n, for all n S, is . (*Answer in integer*)
- GATE 2026 DA Q57 – A clinic specializes in testing for a disease D. The result of the test can be either positive or negative. A study revealed that if a person suffers…
- GATE 2026 DA Q64 – Let A 5 5 be a matrix such that each of its elements follows Bernoulli(p = 0.50) distribution independently. The probability that the row-sum of the…