document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=529831>Question 529831</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At a party there are two types of appetizers: A and B. The probability that a person chooses A is 0.3 while the probability that the person chooses B is 0.4. The probability that the person chooses both is 0.25. What is the probability that a person does not choose any appetizer? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #349763 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=349763\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We know that P(A,B,AandB,not(A or B)) = 1. In other words, the probability of atleast one of all possible events happening is 1.\r<BR>\n" );
document.write( "\n" );
document.write( "So the probability of three of those events is  0.3 + 0.4 + 0.25 as given.\r<BR>\n" );
document.write( "\n" );
document.write( "So we have 0.95. Then  1 - 0.95 is the probability of neither happening. \r<BR>\n" );
document.write( "\n" );
document.write( "So it is 0.05. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );