Wise University has two campuses- Business School and Engineering Scho

Question

Wise University has two campuses- Business School and Engineering School having 500 and 300 students respectively of which there are 40 siblings pairs - one business school student and one engineering school student. The vice-chancellor decided to select one student at random from both the schools for a seminar speech. What is the probability that a sibling pair will be selected?

A. \(\frac{1}{15000}\)

B. \(\frac{4}{15000}\)

C. \(\frac{8}{15000}\)

D. \(\frac{20}{1500}\)

E. \(\frac{16}{1500}\)

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A.  \frac{1}{15000}

B.  \frac{4}{15000} 
 
C.  \frac{8}{15000}

D.  \frac{20}{1500}

E.  \frac{16}{1500}

Are You Up For the Challenge: 700 Level Questions

Anurocks1233 · Answer

Total selection can be made
500*300

Sibling can be selected in
2*20
Hence
B

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coucoucemily · Answer

C? because you could either choose first an engineering student or a business student

so you have 2*(40/500)*(1/300)=8/15000

ElninoEffect · Answer

Business School : 500
Engineering School : 300

Pair of siblings: 40.

Number of ways one sibling pair can be selected from 40 pairs : 40C1
Total probability = 500C1*300C1
Desired Probability = 40C1/500C1*300C1 = 40/500*300 this gives us   option B as our answer.

ShaikhMoice · Answer

Doesnot matter which one you are choosing first, you will end up chosing same sibling pair hence answer shoud be B

Suhasini185 · Answer

i feel the answer will be 8/15000 since he can select only one out of the 800 given

Krunaal · Answer

When VC chooses from Business School, he has 40 people to choose from 500 => 40/500. Then when VC chooses from Engineering school, they have to choose the sibling of one of the 40 chosen from Business school, hence only one option from 300 => 1/300

Probability => 40/500 * 1/300 =>  4/15000

Let me know if still not clear.

Kinshook · Answer

Wise University has two campuses- Business School and Engineering School having 500 and 300 students respectively of which there are 40 siblings pairs - one business school student and one engineering school student. The vice-chancellor decided to select one student at random from both the schools for a seminar speech.

What is the probability that a sibling pair will be selected?

Total ways to select one student at random from both the schools for a seminar speech = 500C1*300C1 = 500*300 = 150000
Number of ways to select a sibling pair = 40

The probability that a sibling pair will be selected =  \frac{40}{150000} = \frac{4}{15000}

IMO B

Wise University has two campuses- Business School and Engineering Scho

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Wise University has two campuses- Business School and Engineering Scho

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

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