document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190648>Question 1190648</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A quick quiz consists of a multiple-choice question with 3 possible answers followed by a multiple-choice question with 5 possible answers. If both questions are answered with random guesses, find the probability that both responses are correct.\r<BR>\n" );
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document.write( "Report the answer as a percent rounded to two decimal place accuracy. You need not enter the \"%\" symbol.<BR>\n" );
document.write( "Probability = \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #849240 by </B><A HREF=/tutors/aboutme.mpl?userid=CPhill><B>CPhill(1959)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CPhill><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=CPhill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=849240\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's how to calculate the probability:\r<BR>\n" );
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document.write( "1. **Probability of a correct answer on the first question:** There are 3 possible answers, and only 1 is correct. So the probability of guessing correctly is 1/3.\r<BR>\n" );
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document.write( "2. **Probability of a correct answer on the second question:** There are 5 possible answers, and only 1 is correct. So the probability of guessing correctly is 1/5.\r<BR>\n" );
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document.write( "3. **Probability of both answers being correct:** Since the guesses are independent events, we multiply the probabilities:\r<BR>\n" );
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document.write( "   (1/3) * (1/5) = 1/15\r<BR>\n" );
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document.write( "4. **Convert to a percentage:**\r<BR>\n" );
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document.write( "   (1/15) * 100% ≈ 6.67%\r<BR>\n" );
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document.write( "Therefore, the probability that both responses are correct is approximately 6.67.<BR>\n" );
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