document.write( "Question 350137: a test consist of 10 true and false questions. To pass the test a student must answer at least eight questions correctly. If a student guess on each question, what is the probability that the student will pass the test? \n" ); document.write( "
Algebra.Com's Answer #250283 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Note: The probability of x successes in n trials is:
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\n" ); document.write( "P = C[10,8]* \"p%5Ex\"*\"q%5E%28n-x%29\" where p and q are the probabilities of success and failure respectively. In this case both p & q are = 1/2 or .5
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\n" ); document.write( "\n" ); document.write( "C[10,8] = \"+10%21%2F%288%21%2810-8%29%29%21=+10%21%2F%288%21%2A2%29%21=%2810%2A9%29%2F2+=45\"
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\n" ); document.write( "P = \"45%2A.5%5E8%2A.5%5E2+=+45%2A.0039%2A.25\" = .0439
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\n" ); document.write( "4.39% chance of getting 8 of the true and false questions correct
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