Engineering Mathematics · Probability and Statistics
Official IIT answer key · IIT Guwahati · Audited Aug 2026
GATE CSE 2025 Set 2 Q64 · NAT · 2 marks
Key concept
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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 →A quadratic polynomial (x - )(x - ) over complex numbers is said to be square invariant if (x - )(x - ) = (x - 2)(x - 2). Suppose from the set of all square invariant quadratic polynomials we choose one at random. The probability that the roots of the chosen polynomial are equal is … (rounded off to one decimal place)
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Independent practice explanation verified by the GateAI team. GATE is conducted by the IITs; question text follows the official paper.
