JEE Main 2020MathematicsProbabilityHardMCQ

JEE Main 2020Probability Question with Solution

JEE Main 2020 (07 Jan Shift 2)

Question

In a workshop, there are five machines and the probability of any one of them to be out of service on a day is 14 . If the probability that at most two machines will be out of service on the same day is 343k, then k is equal to

Choose an option

Show full solutionCorrect option: A
Correct answer
A178

Step-by-step explanation

Given and

Required probability = when no machine has fault + when one machine has fault + when two machines have fault.

=C05345+C1514344+C25142343

=2431024+4051024+2701024=9181024=459512=27×1764×8

343×k=343×178

k=178

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About this question

This is a previous-year question from JEE Main 2020, 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.