document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=297026>Question 297026</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three fair coins are tossed. <BR>\n" );
document.write( "(a) Write out the sample space<BR>\n" );
document.write( "Determine the probability of each event. <BR>\n" );
document.write( "(b) no heads<BR>\n" );
document.write( "(c) exactly one head<BR>\n" );
document.write( "(d) exactly two heads<BR>\n" );
document.write( "(e) three heads<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #213939 by </B><A HREF=/tutors/aboutme.mpl?userid=doncjones><B>doncjones(3)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=doncjones><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=213939\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use 0 to represent tails and 1 to represent heads.  If you flip 3 coins, the possibilities are:\r<BR>\n" );
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document.write( "0 0 0<BR>\n" );
document.write( "0 0 1<BR>\n" );
document.write( "0 1 0<BR>\n" );
document.write( "0 1 1<BR>\n" );
document.write( "1 0 0<BR>\n" );
document.write( "1 0 1<BR>\n" );
document.write( "1 1 0<BR>\n" );
document.write( "1 1 1\r<BR>\n" );
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document.write( "As you can see, there are 8 total outcomes.\r<BR>\n" );
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document.write( "b) the chance of getting no heads would be the 0 0 0 case, which is only one of the 8 cases, so the chances are 1/8.\r<BR>\n" );
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document.write( "c) Exactly one head are the 001, 010, 100 cases which is 3/8.\r<BR>\n" );
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document.write( "d) Two heads is 011, 101, 110 which is 3/8.\r<BR>\n" );
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document.write( "e) Three heads is 111, which is 1/8.\r<BR>\n" );
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document.write( "Don't forget.  Most of the time two heads are better than one. </SPAN>\n" );
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