JEE Main 2021 — Probability Question with Solution
From: JEE Main 2021 (Online) 17th March Evening Shift
Question
Let a computer program generate only the digits 0 and 1 to form a string of binary numbers with probability of occurrence of 0 at even places be and probability of occurrence of 0 at the odd place be . Then the probability that '10' is followed by '01' is equal to :
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
P(0 at even place) =
P(0 at odd place) =
P(1 at even place) =
P(1 at odd place) =
P(10 is followed by 01)
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=
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P(0 at odd place) =
P(1 at even place) =
P(1 at odd place) =
P(10 is followed by 01)
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=
=
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This is a previous-year question from JEE Main 2021, 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.