document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206351>Question 1206351</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sample of 75 people yielded the following information about their health insurance.\r<BR>\n" );
document.write( "\n" );
document.write( "33 people with a managed care plan<BR>\n" );
document.write( "27 with traditional insurance<BR>\n" );
document.write( "15 with no insurance\r<BR>\n" );
document.write( "\n" );
document.write( "2 people who provided information for the table were randomly selected, without replacement. Determine the probability that:\r<BR>\n" );
document.write( "\n" );
document.write( "They both had a managed care plan. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #843743 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=843743\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sample size is 75 people.<BR>\n" );
document.write( "33 out of the 75 had a managed care plan.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "first person selected has 33/75 probability of having a managed care plan.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "assuming the first person had a managed care plan, the second person selected has 32/74 probability of having a managed care plan.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the probability that both had a managed care plan is 33/75 * 32/74 = 1056 / 5550.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this simplifies to 176 / 925.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "as a decimal, that would be .19027 rounded to 5 decimal places.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );