JEE Main 2017 — Probability Question with Solution
From: JEE Main 2017 (Offline)
Question
If two different numbers are taken from the set {0, 1, 2, 3, ........, 10}; then the probability that their sum as
well as absolute difference are both multiple of 4, is :
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Let A = {0, 1, 2, 3, 4, ......., 10}
Total number of ways of selecting 2 different numbers from A is
n (S) = 11C2 = 55, where 'S' denotes sample space
Let E be the given event
E = {(0, 4), (0, 8), (2, 6), (2, 10), (4, 8), (6, 10)}
n (E) = 6
P(E) = =
Total number of ways of selecting 2 different numbers from A is
n (S) = 11C2 = 55, where 'S' denotes sample space
Let E be the given event
E = {(0, 4), (0, 8), (2, 6), (2, 10), (4, 8), (6, 10)}
n (E) = 6
P(E) = =
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This is a previous-year question from JEE Main 2017, 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.