document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=610019>Question 610019</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A coin is tossed 7 times. Let A be the event that the first toss is heads. Let B be the event that the fifth toss is heads.<BR>\n" );
document.write( " Are A and B mutually exclusive? Why or why not? <BR>\n" );
document.write( " Are A and B independent? Why or why not?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #384111 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=384111\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A coin is tossed 7 times. Let A be the event that the first toss is heads. Let B be the event that the fifth toss is heads.<BR>\n" );
document.write( "Are A and B mutually exclusive? Why or why not?<BR>\n" );
document.write( "No because there are a slew of sequences of 7 tosses<BR>\n" );
document.write( "that have heads on the 1st and heads on the 5th toss.<BR>\n" );
document.write( "---------------------------------------------------- <BR>\n" );
document.write( "Are A and B independent? Why or why not?<BR>\n" );
document.write( "Yes because the P(head) on 1st = 1/2 and P(head on 5th) = 1/2<BR>\n" );
document.write( "and P(A nd B) = P(A)*P(B) = 1/4<BR>\n" );
document.write( "===================================<BR>\n" );
document.write( "cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );