document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=31638>Question 31638</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 50% of American population is overweight.<BR>\n" );
document.write( "65% of American population develops heart disease<BR>\n" );
document.write( "57% of those overweight get heart disease<BR>\n" );
document.write( "What is the probability of being overweight or having heart disease. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #18300 by </B><A HREF=/tutors/aboutme.mpl?userid=mbarugel><B>mbarugel(146)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mbarugel><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=18300\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello!<BR>\n" );
document.write( "The rule we must use here is this:\r<BR>\n" );
document.write( "\n" );
document.write( "Given two events, A and B, then:\r<BR>\n" );
document.write( "\n" );
document.write( "Prob(A or B) = Prob(A) + Prob(B) - Prob(A and B)\r<BR>\n" );
document.write( "\n" );
document.write( "Let's call A to the event that someone is overweight, and B to the event that someone has a heasrt disease. From the problem, we already know:\r<BR>\n" );
document.write( "\n" );
document.write( "Prob(A) = 0.50<BR>\n" );
document.write( "Prob(B) = 0.65\r<BR>\n" );
document.write( "\n" );
document.write( "We now need to find Prob(A and B). For that, we use the last piece of information: 57% of those overweight get heart disease. The overweight percentage is 50% Therefore, 57% of the 50% have a heart disease and are overweight. 57% of 50% is 0.57*0.50 = 0.285. Therefore,\r<BR>\n" );
document.write( "\n" );
document.write( "Prob(A and B) = 0.285\r<BR>\n" );
document.write( "\n" );
document.write( "We conclude that:\r<BR>\n" );
document.write( "\n" );
document.write( "Prob(A or B) = Prob(A) + Prob(B) - Prob(A and B) = 0.50 + 0.65 - 0.285 = 0.865 = 86.5%\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I hope this helps!\r<BR>\n" );
document.write( "\n" );
document.write( "Get more answers at <a  rel=nofollow HREF=http://www.onlinemathanswers.com>Online Math Answers.com</a>!<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );