document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935781>Question 935781</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The probability of answering a multiple choice questions correctly by guessing is 0.25. A student guesses the answer to three multiple choice question. Find the probability that:\r<BR>\n" );
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document.write( "1) at least two answers are correct.\r<BR>\n" );
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document.write( "2) less than two answers are correct. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #569498 by </B><A HREF=/tutors/aboutme.mpl?userid=oscargut><B>oscargut(2103)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oscargut><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=oscargut><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=569498\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The probability of answering a multiple choice questions correctly by guessing is 0.25. \r<BR>\n" );
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document.write( "A student guesses the answer to three multiple choice question. \r<BR>\n" );
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document.write( "Find the probability that:\r<BR>\n" );
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document.write( "1)  At least two answers are correct.\r<BR>\n" );
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document.write( "2) Less than two answers are correct.\r<BR>\n" );
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document.write( "1)\r<BR>\n" );
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document.write( "Solution:\r<BR>\n" );
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document.write( "P(at least 2 answers correct) = P(2 correct)+P(3 correct)\r<BR>\n" );
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document.write( "= 3(1/4)(1/4)(3/4) + (1/4)(1/4)(1/4) = 9/64 +1/64 = 10/64 = 5/32\r<BR>\n" );
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document.write( "Answer: 5/32\r<BR>\n" );
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document.write( "2)\r<BR>\n" );
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document.write( "Solution:\r<BR>\n" );
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document.write( "P(Less 2 answers correct) = 1-P(at least 2 answers correct) = 1-5/32 = 27/32\r<BR>\n" );
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document.write( "Answer: 27/32\r<BR>\n" );
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document.write( "If you need more help or details you can contact me at:<BR>\n" );
document.write( "mthman@gmail.com<BR>\n" );
document.write( "Thanks \r<BR>\n" );
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document.write( " </SPAN>\n" );
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