JEE Main 2007 — Probability Question with Solution
From: AIEEE 2007
Question
Two aeroplanes and bomb a target in succession. The probabilities of and scoring a hit correctly are and respectively. The second plane will bomb only if the first misses the target. The probability that the target is hit by the second plane is :
Choose an option
Show full solutionCorrect option: D
Correct answer
D0.32
Step-by-step explanation
The desired probability
= (0.7) (0.2) + (0.7) (0.8) (0.7) (0.2) + (0.7) (0.8) (0.7) (0.8) (0.7) (0.2) + .......
= 0.14 [1 + (0.56) + (0.56)2 + .......]
= 0.14 = 0.32
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This is a previous-year question from JEE Main 2007, 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.