document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=474485>Question 474485</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a sample of 600 students, 150 are seniors.  If two students are selected at random from the sample, find the probability both students are seniors. \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 #325428 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=325428\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a sample of 600 students, 150 are seniors.  If two students are selected at random from the sample, find the probability both students are seniors. <BR>\n" );
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document.write( "The probability that the 1st is a senior is P(1st) = 150/600<BR>\n" );
document.write( "Once the first is selected, there is one fewer student and one fewer senior.<BR>\n" );
document.write( "So the probability that the 2nd is a senior is P(2nd) = 149/599<BR>\n" );
document.write( "The probability that both are seniors is the product of these:<BR>\n" );
document.write( "P(both) = P(1st)P(2nd) = 150/600*149/599 = 1/4*149/599 = 0.0622 </SPAN>\n" );
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