Verified Solution • 2025–26 Session moderate

QJEEM22Mabf7d: JEE Main 2022 Mathematics - Class 12 JEEM22Mabf7d Solution: Out of female and male candidates appearing in an exam,…

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

Multiple Choice Options

  • A 23\frac{2}{3}
  • B 1116\frac{11}{16}
  • C 2332\frac{23}{32}
  • D 1316\frac{13}{16}

Step-by-Step Verified Solution

P (Female) =60100=35= {{60} \over {100}} = {3 \over 5}

P (Male) =25= {2 \over 5}

P (Female/Qualified) =4060=23= {{40} \over {60}} = {2 \over 3}

P (Male/qualified) =2060=13= {{20} \over {60}} = {1 \over 3}

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