SOLUTION: I have received 287 applications for a new program. Using a random number generator, we will randomly assign each application a number from 1 to 287 and rank the results. We will t

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Question 691071: I have received 287 applications for a new program. Using a random number generator, we will randomly assign each application a number from 1 to 287 and rank the results. We will then select the top 20. There are two applications that we are concerned about. What is the probability that these 2 applications will both be selected in the Top 20?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I have received 287 applications for a new program. Using a random number generator, we will randomly assign each application a number from 1 to 287 and rank the results. We will then select the top 20. There are two applications that we are concerned about. What is the probability that these 2 applications will both be selected in the Top 20?
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# of ways to succeed: 2C2*285C18
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# of possible outcomes: 285C20
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Prob = 285C18/285C20
= [285!/267!]/[285!/265!] = 265!/267! = 1/(267*266)
= 0.00001408
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Cheers,
Stan H.
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