Engineering Mathematics · Probability and Statistics
Official IIT answer key · IIT Roorkee · Audited Aug 2026
GATE CSE 2026 Set 2 Q63 · 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 →Suppose an unbiased coin is tossed 6 times. Each coin toss is independent of all previous coin tosses. Let E1 be the event that among the second, fourth, and sixth coin tosses, there are at least two heads. Let E2 be the event that among the first, second, third, and fifth coin tosses, there are equal number of heads and tails. The conditional probability P(E1|E2) is equal to … (rounded off to one decimal place)
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