Engineering Mathematics · Probability and Statistics
Official IIT answer key · IIT Guwahati · Audited Aug 2026
GATE CSE 2025 Set 1 Q32 · NAT · 1 mark
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 box contains 5 coins: 4 regular coins and 1 fake coin. When a regular coin is tossed, the probability P(head) = 0.5 and for a fake coin, P(head) = 1. You pick a coin at random and toss it twice, and get two heads. The probability that the coin you have chosen is the fake coin is … (rounded off to two decimal places)
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Independent practice explanation verified by the GateAI team. GATE is conducted by the IITs; question text follows the official paper.
