document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1049719>Question 1049719</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a class of 100 people, 25 own fords, 20 own dodges, 13 own toyotas, 10 own both fords and dodges, 8 own fords and toyotas, 5 own dodges and toyotas, and 4 own all three. If a person selected at random from the class, what is the probability he or she does not own any of these vehicles? Use a venn diagram. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #665319 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52797)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=665319\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "In a class of 100 people, 25 own fords, 20 own dodges, 13 own toyotas, 10 own both fords and dodges, 8 own fords and toyotas, 5 own dodges and toyotas, and 4 own all three. If a person selected at random from the class, what is the probability he or she does not own any of these vehicles? Use a venn diagram.<BR>\n" );
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document.write( "Similar problem was solved in\r<BR>\n" );
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document.write( "<A  rel=nofollow HREF=https://www.algebra.com/statistics/Binomial-probability/Binomial-probability.faq.question.1048656.html>https://www.algebra.com/statistics/Binomial-probability/Binomial-probability.faq.question.1048656.html</A>\r<BR>\n" );
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document.write( "https://www.algebra.com/statistics/Binomial-probability/Binomial-probability.faq.question.1048656.html\r<BR>\n" );
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document.write( "Apply the same logic. \r<BR>\n" );
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document.write( "The numbers are \r<BR>\n" );
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document.write( "100 - [25 + 20 + 13 - (10 + 8 + 5) + 4] = 61.\r<BR>\n" );
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document.write( "So, the number of people in the class who does not own any of these vehicles is 61.\r<BR>\n" );
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document.write( "Therefore, the answer to the question is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=61%2F100 ALIGN=MIDDLE  ALT=\"61%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The formula we used is well known in the elementary set theory.\r<BR>\n" );
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document.write( "Its proof is very straightforward and simple.\r<BR>\n" );
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document.write( "See, for example, the lesson \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/word/misc/Advanced-probs-counting-elements-in-sub-sets-of-a-given-finite-set.lesson>Advanced problems on counting elements in sub-sets of a given finite set</A>\r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.\r<BR>\n" );
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document.write( "The referred lesson is the part of this online textbook in the topic \"Miscellaneous word problems\" of the section \"Word problems\".\r<BR>\n" );
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document.write( " </SPAN>\n" );
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