document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184478>Question 184478</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073534961/algebrahomeworkh>Elementary Statistics</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 10.) There is a 0.39 probability that John will purchase a new car, a 0.73 probability that Mary will purchase a new car, and a 0.36 probability that both will purcharse a new car. Find the probability that neither will purchase a new car. \r<BR>\n" );
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document.write( "Please help me with this problem. Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138467 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=138467\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There is a 0.39 probability that John will purchase a new car, a 0.73 probability that Mary will purchase a new car, and a 0.36 probability that both will purcharse a new car. Find the probability that neither will purchase a new car. <BR>\n" );
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document.write( "P(only John will purchase) = 0.39-0.36 = 0.03<BR>\n" );
document.write( "P(only Mary will purchase) = 0.73-0.36 = 0.37<BR>\n" );
document.write( "P(both will purchase) = 0.36<BR>\n" );
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document.write( "So, P(neither will purhase) = 1 - (0.03+0.37+0.36) = 0.24<BR>\n" );
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document.write( "You can see this if you draw the Venn Diagram for the problem.<BR>\n" );
document.write( "Draw two intersecting circles: one for John and one for Mary.<BR>\n" );
document.write( "Put 0.36 in the intersection.<BR>\n" );
document.write( "Then John only is 0.03; Mary only is 0.37.<BR>\n" );
document.write( "Adding those to the intersection you get 0.76.<BR>\n" );
document.write( "That leaves 0.24 outside both circles.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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