JEE Main 2018 — Probability Question with Solution
From: JEE Main 2018 (Online) 15th April Morning Slot
Question
A box 'A' contains white, red and black balls. Another box 'B' contains white, red and black balls. If two balls are drawn at random, without eplacement, from a randomly selected box and one ball turns out to be white while the other ball turns out to be red, then the probability that both balls are drawn from box 'B' is :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Probability of drawing a white ball and then a red ball
from bag B is given by =
Probability of drawing a white ball and then a red ball
from bag A is given by =
Hence, the probability of drawing a white ball and then
a red ball from bag B = = =
from bag B is given by =
Probability of drawing a white ball and then a red ball
from bag A is given by =
Hence, the probability of drawing a white ball and then
a red ball from bag B = = =
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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.