Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
In a group of 14 males and 6 females. 8 and 3 of the males and females, respectively are aged above 40 yr. The probability that a selected at random from the group is person aged above $40 \mathrm{yr}$ given that the selected person is a female, is
MathematicsProbabilityWBJEEWBJEE 2016
Options:
  • A $\frac{2}{7}$
  • B $\frac{1}{2}$
  • C $\frac{1}{4}$
  • D $\frac{5}{6}$
Solution:
2564 Upvotes Verified Answer
The correct answer is: $\frac{1}{2}$
Number of males = 14
and females $=6$
Total =14+6=20
Males above $40 \mathrm{yr}=8$
and females above $40 \mathrm{y}=3$
Now, P (selected person is female and above 40 yn) $=\frac{3}{6}=\frac{1}{2}$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.