document.write( "Question 578768: A four-question multiple choice quiz with choices A, B, C, D, and E. If a person taking the quiz guessed all four questions, find:\r
\n" ); document.write( "\n" ); document.write( "P( exactly two correct)
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Algebra.Com's Answer #370769 by dfrazzetto(283)\"\" \"About 
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\n" ); document.write( "5 choices, therefore P(correct) for any independent question is 1/5:\r
\n" ); document.write( "\n" ); document.write( "P(exactly 2 correct) = P(2 correct)x P(2 wrong)\r
\n" ); document.write( "\n" ); document.write( "= (1/5)(1/5) x (4/5)(4/5)\r
\n" ); document.write( "\n" ); document.write( "= .04 x .64 = .0256 = roughly 2.6% chance\r
\n" ); document.write( "\n" ); document.write( "There is a 4 % chance that he/she gets at least 2 correct, so the probability for getting two and ONLY two correct, should be lower, since less outcomes satisfy the conditions.\r
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