GATE EE 2016 Set 1 — Question 36

NAT+2 / -0MediumElementary Statistics & ProbabilityQuantitative AptitudeGeneral AptitudePermutations & Combinations

General Aptitude → Quantitative Aptitude → Elementary Statistics & Probability

Last updated 5 September 2026

Question

Candidates were asked to come to an interview with 3 pens each. Black, blue, green and red were the permitted pen colours that the candidate could bring. The probability that a candidate comes with all 3 pens having the same colour is_____.

\binom{n+r-1}{r} = \binom{4+3-1}{3} = \binom{6}{3} = \frac{6 \times 5 \times 4}{3 \times 2 \times 1} = 20

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\binom{n+r-1}{r} = \binom{4+3-1}{3} = \binom{6}{3} = \frac{6 \times 5 \times 4}{3 \times 2 \times 1} = 20

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