document.write( "Question 952314: A student studying for a vocabulary test knows the meanings of 14 words from a list of 20 words. If the test contains 10 words from the study list, what is the probability that at least 8 of the words on the test are words that the student knows? (Round your answer to three decimal places.)
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Algebra.Com's Answer #581592 by edjones(8007)\"\" \"About 
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14/20=.7, 1-.7=.3
\n" ); document.write( "nCr=10C8=10!/((10-8)!*8!)=45
\n" ); document.write( "45*.7^8*.3^2
\n" ); document.write( "=.233
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\n" ); document.write( "10C9=10
\n" ); document.write( "10*.7^9*.3
\n" ); document.write( "=.121
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\n" ); document.write( ".7^10
\n" ); document.write( "=.028
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\n" ); document.write( ".233+.121+.028
\n" ); document.write( "=.383 (rounding error) the probability that at least 8 of the words on the test are words that the student knows.
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