JEE Main 2021 — Probability Question with Solution
From: JEE Main 2021 (Online) 25th February Morning Shift
Question
When a missile is fired from a ship, the probability that it is intercepted is and the probability that the missile hits the target, given that it is not intercepted, is . If three missiles are fired independently from the ship, then the probability that all three hit the target, is :
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Probability of not getting intercepted =
When it is not intercepted, probability of missile hitting target =
So when such 3 missiles launched then P (all 3 hitting the target)
=
When it is not intercepted, probability of missile hitting target =
So when such 3 missiles launched then P (all 3 hitting the target)
=
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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.