Q. If a committee of 3 is to be chosen from a group of 38 people of which you are a member. What is the probability that you will be on the committee?
A) $\binom{38}{3}$
B) $\binom{37}{2}$
C) $\binom{37}{2}\ \slash \binom{38}{3}\ \$
D) 666/8436
Explanation
(c)
From the given condition it is clear that a particular person is always in a committee of 3 persons. It means we have to select 2 person out of 37 persons.
$\therefore\$Required probability $= \frac{{\ ^{37}C}_{2}}{{\ ^{38}C}_{3}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.