document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=430492>Question 430492</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A realty company has 100 homes listed for sale.Some of these homes have fire places, some have garages, and some have neither.<BR>\n" );
document.write( "Garage and Fireplace 50<BR>\n" );
document.write( "Garage with no fireplace 30<BR>\n" );
document.write( "No Garage and fireplace 10<BR>\n" );
document.write( "No garage and no fireplace 10<BR>\n" );
document.write( "What is the probability that the home selected does not have a fire place?<BR>\n" );
document.write( "What is the probabiltiy that the home selected has a fireplace or a garage?<BR>\n" );
document.write( "What is the probabiltiy that the home selected had niether a fireplace nor a garage?<BR>\n" );
document.write( "What is the probabiltiy that the home selected has a garage but not a fireplace?<BR>\n" );
document.write( "What is the probabiltiy that the home selected has a garage, given that it has a fireplace?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #298973 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=298973\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">   <PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\"><font face = \"Tohoma\" size = 4 color = \"indigo\"><b> <BR>\n" );
document.write( "Hi<BR>\n" );
document.write( "A realty company has 100 homes listed for sale<BR>\n" );
document.write( "           G-only   F-only       both     neither   Total<BR>\n" );
document.write( "status      30        10          50        10       100\r<BR>\n" );
document.write( "\n" );
document.write( "P( that the home selected does not have a fire place)= 1 - 60/100 = 40/100<BR>\n" );
document.write( "P(that the home selected has a fireplace or a garage) <BR>\n" );
document.write( " P(A or B) = P(A) + P(B) - P(A and B) = 90/100 - 50/100 = 40/100 <BR>\n" );
document.write( "P(that the home selected had neither a fireplace nor a garage)= 10/100<BR>\n" );
document.write( "P(that the home selected has a garage but not a fireplace)= 30/100<BR>\n" );
document.write( "P(the home selected has a garage, given that it has a fireplace) <BR>\n" );
document.write( "   P(A|B) = P(A and B)/P(B)= 50/100/60/100 = 50/60<BR>\n" );
document.write( "may reduce fractions as necessary for classroom format. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );