document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1124879>Question 1124879</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A Bernoulli Trials experiment consists of 3 trials, with a 35 probability of success on each trial. \r<BR>\n" );
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document.write( "What is the probability of at least 1 success and at least 1 failure? <BR>\n" );
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document.write( "What is the probability of 2 successes, given at least 1 success? <BR>\n" );
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document.write( "What is the probability of at least 2 successes, given at least 1 failure? <BR>\n" );
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document.write( "Enter your answers as whole numbers or fractions in lowest terms.<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 #741366 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=741366\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .35 probability will be used<BR>\n" );
document.write( "0 successes: .65^3=0.2746<BR>\n" );
document.write( "1 success=3*.35*.65^2=0.4436<BR>\n" );
document.write( "2 successes=3*.35^2*.65=0.2389<BR>\n" );
document.write( "3 successes=.35^3=0.0429\r<BR>\n" );
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document.write( "Therefore, at least 1 success and at least 1 failure are the two middle ones or probability of 0.6825<BR>\n" );
document.write( "Given at least 1 success, the probability of at least two successes is .35*.35+.35*.65*.65*.35=0.5775<BR>\n" );
document.write( "probability of at least 2 successes given at least 1 failure is 0.2389, the probability of 2 successes. </SPAN>\n" );
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