document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208184>Question 1208184</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The probability that a first-time tourist to the city of<BR>\n" );
document.write( "Toledo will visit the Art Museum is 0.5, will visit the Toledo<BR>\n" );
document.write( "Zoo is 0.4, and will visit both is 0.25. If a first-time tourist<BR>\n" );
document.write( "to Toledo is randomly selected, find the probability that the<BR>\n" );
document.write( "tourist will visit:<BR>\n" );
document.write( "(a) the Art Museum or the Toledo Zoo<BR>\n" );
document.write( "(b) neither of these attractions, and<BR>\n" );
document.write( "(c) one, but not both, of these attractions.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #846424 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3816)</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=846424\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "M = visit museum<BR>\n" );
document.write( "Z = visit zoo<BR>\n" );
document.write( "P(M) = 0.5<BR>\n" );
document.write( "P(Z) = 0.4<BR>\n" );
document.write( "P(M and Z) = 0.25\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Part (a)<BR>\n" );
document.write( "P(M or Z) = P(M) + P(Z) - P(M and Z)  ........ inclusion-exclusion principle<BR>\n" );
document.write( "= 0.5+0.4-0.25<BR>\n" );
document.write( "= <font color=red>0.65</font>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Part (b)<BR>\n" );
document.write( "P(neither M nor Z) = 1 - P(M or Z)<BR>\n" );
document.write( "= 1 - 0.65<BR>\n" );
document.write( "= <font color=red>0.35</font>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Part (c)<BR>\n" );
document.write( "P(M or Z but not both) = P(M or Z) - P(M and Z)<BR>\n" );
document.write( "= 0.65-0.25<BR>\n" );
document.write( "= <font color=red>0.4</font>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "--------------------------------------------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Summary of answers<BR>\n" );
document.write( "(a) <font color=red>0.65</font><BR>\n" );
document.write( "(b) <font color=red>0.35</font><BR>\n" );
document.write( "(c) <font color=red>0.4</font><BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );