document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #426479 by stanbon(75887)\"\" \"About 
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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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\n" ); document.write( "# of ways to succeed: 2C2*285C18
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\n" ); document.write( "# of possible outcomes: 285C20
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\n" ); document.write( "Prob = 285C18/285C20
\n" ); document.write( "= [285!/267!]/[285!/265!] = 265!/267! = 1/(267*266)
\n" ); document.write( "= 0.00001408
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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