document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206350>Question 1206350</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 managed care plan<BR>\n" );
document.write( "27 people with traditional insurance<BR>\n" );
document.write( "15 people with no insurance\r<BR>\n" );
document.write( "\n" );
document.write( "Two people who provided information for the table were randomly selected, without replacement. Determine the probability that:\r<BR>\n" );
document.write( "\n" );
document.write( "A. Neither had traditional insurance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #843746 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=843746\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Tutor Theo seems to have mixed up \"no insurance\" with \"not having traditional insurance\". The second option could mean they have a managed health care plan or no insurance at all.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "33 with managed care + 15 with no insurance = 48 people out of 75<BR>\n" );
document.write( "48/75 = probability of selecting one such person<BR>\n" );
document.write( "47/74 = probability of selecting another such person where the 1st person was not replaced\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(48/75)*(47/74) = 376/925<BR>\n" );
document.write( "376/925 = 0.406486486486 approximately<BR>\n" );
document.write( "The \"486\" portion of the decimal repeats forever.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Answer<BR>\n" );
document.write( "Exact fraction form = 376/925<BR>\n" );
document.write( "Approximate decimal form = 0.406486486486<BR>\n" );
document.write( "It's about a 40.65% chance of happening<BR>\n" );
document.write( "Your teacher didn't state what format s/he wants the answer to be in, so you'll have to ask your teacher.<BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );