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JEE Main 202228 JulyMorning Shift
Exam
JEE Main
Year
2022
Date
28 July
Shift
Morning Shift
Subject
Mathematics
Chapter
Probability

JEE Main 2022 · 28 July · Morning Shift · Mathematics · Probability

Out of 60 % female and 40 % male candidates appearing in an exam,...

Out of 6060 % female and 4040 % male candidates appearing in an exam, 6060 % candidates qualify it. The number of females qualifying the exam is twice the number of males qualifying it. A candidate is randomly chosen from the qualified candidates. The probability, that the chosen candidate is a female, isOut of 60 % female and 40 % male candidates appearing in an exam, 60 % candidates qualify it. The number of females

Options

  1. A23\dfrac{2}{3}
  2. B1116\dfrac{11}{16}
  3. C2332\dfrac{23}{32}
  4. D1316\dfrac{13}{16}

Correct answer

A. 23\dfrac{2}{3}

Step-by-step solution

Given,

Out of 6060 % female and 4040 % male candidates appearing in an exam, 6060 % candidates qualify it. The number of females qualifying the exam is twice the number of males qualifying it. A candidate is randomly chosen from the qualified candidates. The probability, that the chosen candidate is a female, is

Now plotting the given value we have,

Out of 60 % female and 40 % male candidates appearing in an exam, 60 % candidates qualify it. The number of females

Now probability that chosen candidate is female =4060=23= \dfrac{40}{60} = \dfrac{2}{3}

Note: we have modified the option, as this question of 28th july 2022 jee mains was a bonus.

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