Probability Question 95
Question: 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
[AMU 2000]
Options:
A) $ ( \begin{aligned} & 38 \\ & 3 \\ \end{aligned} ) $
B) $ ( \begin{aligned} & 37 \\ & 2 \\ \end{aligned} ) $
C) $ ( _2^{37} )/( _3^{38} ) $
D) $ \frac{666}{8436} $
Show Answer
Answer:
Correct Answer: C
Solution:
Required probability $ =\frac{^{37}C_2}{^{38}C_3}=\frac{( \begin{aligned} & 37 \\ & 2 \\ \end{aligned} )}{( \begin{aligned} & 38 \\ & 3 \\ \end{aligned} )} $ .
BETA
