JEE Main 2019MathematicsProbabilityEasyMCQ

JEE Main 2019 — Probability Question with Solution

JEE Main 2019 (09 Apr Shift 1)

Question

Four persons can hit a target correctly with probabilities 12,13,14 and 18 respectively. If all hit at the target independently, then the probability that the target would be hit, is

Choose an option

Show full solutionCorrect option: D
Correct answer
D2532

Step-by-step explanation

P(target is hit)=1–P(no one hit the target)

=1-1-12·1-14·1-13·1-18

=1-12·34·23·78

=1-732=2532.

Thus, the required probability is 2532.

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About this question

This is a previous-year question from JEE Main 2019, 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.