Probability Question 407

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} )} $ .



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