JEE Main 2026 — Probability Question with Solution
JEE Main 2026 (23 January Shift 1)
Question
From the first 100 natural numbers, two numbers first and then are selected randomly without replacement. If the probability that is , then is equal to .
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Show full solutionCorrect answer: 311
Correct answer
311
Step-by-step explanation
Total ordered selections .
Favorable (): for each from 1 to 90, ranges from to 100, giving choices.
Count .
Probability (after dividing by 45).
, so .
.
Favorable (): for each from 1 to 90, ranges from to 100, giving choices.
Count .
Probability (after dividing by 45).
, so .
.
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This is a previous-year question from JEE Main 2026, covering the Probability chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.