Pairs from {1,2,3} without replacement: (1,2),(1,3),(2,3) -- three equally likely pairs.
Larger of each pair: 2,3,3.
So P(X=2)=31 and P(X=3)=32.
Two numbers are selected at random (without replacement) from the first three positive integers. Let X denotes the larger of the two integers, then…
CUET UG 2022 — Mathematics Algebra
2022mcqeasy
Two numbers are selected at random (without replacement) from the first three positive integers. Let X denotes the larger of the two integers, then the probability distribution of X is
Official previous-year question
Held on 30 Aug 2022 · Verified 13 Jul 2026.
Options
- A
x 2 3 P(X=x) 1/3 2/3 - B
x 2 3 P(X=x) 1/2 1/2 - C
x 2 3 P(X=x) 2/3 1/3 - D
x 2 3 P(X=x) 1/5 4/5
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