document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=157543>Question 157543</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hey I will really appreciate it if you could help me with this homework question:\r<BR>\n" );
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document.write( "A coin is tossed 8 times. Calculate the probability of tossing\r<BR>\n" );
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document.write( "a) 6 heads and 2 tails \r<BR>\n" );
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document.write( "b) 7 heads and 1 tail\r<BR>\n" );
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document.write( "c) at least 6 heads </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #116090 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=116090\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You can construct a table of all of the possible tosses.<BR>\n" );
document.write( "There are 256 (2^8) possibilities.<BR>\n" );
document.write( "Here'e the general way to do it with 4 tosses, you can expand to 8 to get your answer.<BR>\n" );
document.write( "4 tosses there are 16 possible outcomes.<BR>\n" );
document.write( " <BR>\n" );
document.write( "1.H 	H 	H 	H	=4 H, 0 T <BR>\n" );
document.write( "2.H 	H 	H 	 T 	=3 H, 1 T <BR>\n" );
document.write( "3.H 	H 	 T 	H 	=3 H, 1 T <BR>\n" );
document.write( "4.H 	H 	 T 	 T 	=2 H, 2 T <BR>\n" );
document.write( "5.H 	 T 	H 	H 	=3 H, 1 T <BR>\n" );
document.write( "6.H 	 T 	H 	 T 	=2 H, 2 T <BR>\n" );
document.write( "7.H 	 T 	 T 	H 	=2 H, 2 T <BR>\n" );
document.write( "8.H 	 T 	 T 	 T 	=1 H, 3 T <BR>\n" );
document.write( "9. T 	H 	H 	H 	=3 H, 1 T <BR>\n" );
document.write( "10. T 	H 	H 	 T 	=2 H, 2 T <BR>\n" );
document.write( "11. T 	H 	 T 	H 	=2 H, 2 T <BR>\n" );
document.write( "12. T 	H 	 T 	 T 	=1 H, 3 T <BR>\n" );
document.write( "13. T 	 T 	H 	H 	=2 H, 2 T <BR>\n" );
document.write( "14. T 	 T 	H 	 T 	=1 H, 3 T <BR>\n" );
document.write( "15. T 	 T 	 T 	H 	=1 H, 3 T <BR>\n" );
document.write( "16. T 	 T 	 T 	 T 	=0 H, 4 T <BR>\n" );
document.write( "Then you can look at individual probabilities<BR>\n" );
document.write( "P{4H)=1/16<BR>\n" );
document.write( "P(3H)=4/16<BR>\n" );
document.write( "P(2H)=6/16<BR>\n" );
document.write( "P(1H)=4/16<BR>\n" );
document.write( "P(0H)=1/16<BR>\n" );
document.write( "P(at least 2 heads)=P(2H)+P(3H)+P(4H)=6/16+4/16+1/16=11/16<BR>\n" );
document.write( "Hope it helps.<BR>\n" );
document.write( "The procedure is the same for any number of tosses, it just a bit more tedious with more tosses.<BR>\n" );
document.write( "Good luck.  </SPAN>\n" );
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