document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=44640>Question 44640</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321168089/algebrahomeworkh>Mathe,atical Ideas</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> If Three Fair coins are tossed, finds the probability of each of the folllowing numbers of heads.<BR>\n" );
document.write( "6. at least 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #29523 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=29523\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> all possible outcomes on 3 coins are:\r<BR>\n" );
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document.write( "3 heads: HHH --> 1 outcome<BR>\n" );
document.write( "2 heads: HHT or HTH or THH --> 3 outcomes<BR>\n" );
document.write( "1 head:  HTT or THT or TTH --> 3 outcomes<BR>\n" );
document.write( "0 heads: TTT --> 1 outcome\r<BR>\n" );
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document.write( "Question asks for at least 1 head which is any of the top 7 outcomes.\r<BR>\n" );
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document.write( "Now each of these outcomes has a probability of (1/2)*(1/2)*(1/2) --> 1/8 since we have 3 coins flipped at a time.\r<BR>\n" );
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document.write( "So the answer is 7/8. In other words, it is highly likely to get at least one head when flipping 3 coins. The only time you would not is by getting 3 tails.\r<BR>\n" );
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document.write( "Jon </SPAN>\n" );
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