JEE Main 2017MathematicsProbabilityMediumMCQ

JEE Main 2017 — Probability Question with Solution

JEE Main 2017 (08 Apr Online)

Question

Three persons P, Q and R independently try to hit a target. If the probabilities of their hitting the target are 34,12 and 58 respectively, then the probability that the target is hit by P or Q but not by R is:

Choose an option

Show full solutionCorrect option: B
Correct answer
B2164

Step-by-step explanation

Let probability of hitting target by P is E1 ,Q is E2 ,and by R is E3

From the question Required probability is P(E1)P(E2)P(E3¯)+P(E1¯)P(E2)P(E3¯)+P(E1)P(E2¯)P(E3¯)=34 12 38+14 1238+341238

=12+964

=2164

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Probability chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

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.