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Question: Answered & Verified by Expert
Out of 60% female and 40% male candidates appearing in an exam, 60% 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
MathematicsProbabilityJEE MainJEE Main 2022 (28 Jul Shift 1)
Options:
  • A 23
  • B 1116
  • C 2332
  • D 1316
Solution:
1011 Upvotes Verified Answer
The correct answer is: 23

Given,

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

Now probability that chosen candidate is female =4060=23

 

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

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