document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=725450>Question 725450</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A fair coin is tossed until it comes up tails for the third time or heads for the second time.<BR>\n" );
document.write( "My set that I got was: HH TTT THTH HTH THTT HTTH HTTT THH TTHH TTHT\r<BR>\n" );
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document.write( "What is the probability that the third tail does occur?(Trick question)\r<BR>\n" );
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document.write( "What is the probability that the third tail doesn't occur? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #444153 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=444153\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First make a probability tree of all the possible outcomes (given the restriction rules)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://i150.photobucket.com/albums/s91/jim_thompson5910/Algebra%20dot%20com/1-1_zps1c074b72.png\">\r<BR>\n" );
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document.write( "The values in red are the probabilities for each scenario. For example, there’s a 12.5% chance of flipping THH (start at the top and go left, right, right)\r<BR>\n" );
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document.write( "Circle all the probabilities where T shows up 3 times to get this\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://i150.photobucket.com/albums/s91/jim_thompson5910/Algebra%20dot%20com/2-3_zpsf2df3573.png\">\r<BR>\n" );
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document.write( "Add up all those circled probabilities: 12.5+6.25+6.25+6.25 = 31.25\r<BR>\n" );
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document.write( "So the probability of that the third tail does occur is a <font color=\"red\">31.25%</font> chance, which in decimal form is <font color=\"red\">0.3125</font><BR>\n" );
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