document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1168025>Question 1168025</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that a single fair die is rolled one time.  Let events A and B be defined as:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "A  =  { 1, 4, 5 }      and    B  =  { 2, 4, 5, 6 }\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " Are A and B mutually exclusive events?  Why or why not?  \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "  Are A and B independent events?  Show why or why not? \r<BR>\n" );
document.write( "\n" );
document.write( "Please help me figure this out! On my last test, I had a similar question but with 3 digits and wrote independent and got it wrong! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #792627 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=792627\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> No, because elements are common to both sets. If A were {1,2,3} and B were {4,5,6} then they would be.\r<BR>\n" );
document.write( "\n" );
document.write( "P(A)*P(B)=P(Both A and B) if independent<BR>\n" );
document.write( "1/2*2/3=1/3 if independent , and that is true.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );