Engineering Mathematics · Probability and Statistics
Official IIT answer key · IIT Kharagpur · Audited Aug 2026
GATE CSE 2014 Set 2 Q2 · 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 →Each of the nine words in the sentence "The quick brown fox jumps over the lazy dog" is written on a separate piece of paper. These nine pieces of paper are kept in a box. One of the pieces is drawn at random from the box. The *expected length* of the word drawn is … (The answer should be rounded 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.
