JEE Main 2018MathematicsProbabilityMediumMCQ

JEE Main 2018 — Probability Question with Solution

JEE Main 2018 (08 Apr)

Question

A bag contains 4 red and 6 black balls. A ball is drawn at random from the bag, its color is observed and this ball along with two additional balls of the same color are returned to the bag. If now a ball is drawn at random from the bag, then the probability that this drawn ball is red, is:

Choose an option

Show full solutionCorrect option: C
Correct answer
C25

Step-by-step explanation

E: Ball drawn from bag is observed to be Red after A or B has occurred.

PE=PE∩A+PE∩B

⇒PE=PAPEA+PBPEB

=410612+610412

=48120

=25

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 2018, 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.