document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=516988>Question 516988</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a business statistics class, there are 40 students and 24 of them are females. Suppose an experiment consists of selection two students at random with replacement.\r<BR>\n" );
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document.write( "(i) construct a well-labelled tree diagram<BR>\n" );
document.write( "(ii) What is the probability of selecting both females<BR>\n" );
document.write( "(iii) What is the probability of selecting at least one female student. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #344648 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=344648\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a business statistics class, there are 40 students and 24 of them are females. Suppose an experiment consists of selection two students at random with replacement. <BR>\n" );
document.write( "(i) construct a well-labelled tree diagram<BR>\n" );
document.write( "(ii) What is the probability of selecting both females<BR>\n" );
document.write( "# of ways to select 2 females: 24C2 = 276<BR>\n" );
document.write( "# of ways to select pairs randomly: 40C2 = 780<BR>\n" );
document.write( "P(select 2 females) = 276/780<BR>\n" );
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document.write( "(iii) What is the probability of selecting at least one female student.<BR>\n" );
document.write( "P(select 2 males) = 16C2/40C2<BR>\n" );
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document.write( "So, P(at least one female) = 1 - P(2 males) = 1 - [16C2/40C2] = 0.8462<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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