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Engineering Mathematics · Probability and Statistics
Official IIT answer key · IIT Kanpur · Audited Aug 2026
GATE CSE 2015 Set 3 Q37 · NAT · 2 marks
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Topic notes
Probability and Statistics in GATE CS is consistently tested with 2 to 4 questions per year, spanning fundamental combinatorics, conditional probability, Bayes' theorem, discrete and continuous random variables, and expectation/variance properties. A notable proportion of questions require setting up a discrete probability model (urn/coin/dice experiments or bit strings) or computing expectations using linearity of expectation and integration over piece-wise uniform intervals. The question mix favors NAT and conceptual MCQ/MSQ formats with an emphasis on exact algebraic reasoning rather than heavy numerical statistical testing.
Full Probability and Statistics guide →Suppose Xi for i = 1,2,3 are independent and identically distributed random variables whose probability mass functions are [Xi = 0] = [Xi = 1] = 1/2 for i = 1,2,3. Define another random variable Y = X1 X2 X3, where denotes XOR. Then [Y = 0 | X3 = 0] = …
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