document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1132195>Question 1132195</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A man alternatively tosses a coin and throws a die beginning with a coin. The probability that he gets a head a coin before he gets 5 or 6 in the fir is1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #749147 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13215)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=749147\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "P(heads) = 1/2<BR>\n" );
document.write( "P(tails) = 1/2<BR>\n" );
document.write( "P(5 or 6) = 9/36 = 1/4<BR>\n" );
document.write( "P(neither 5 nor 6) = 3/4<br><BR>\n" );
document.write( "P(heads before 5 or 6) =<BR>\n" );
document.write( "P((heads on first flip) OR<BR>\n" );
document.write( " (tails on first flip AND neither 5 nor 6 on first roll AND heads on second flip) OR<BR>\n" );
document.write( " (tails on first flip AND neither 5 nor 6 on first roll AND tails on second flip AND neither 5 nor 6 on second roll AND heads on third flip) OR<BR>\n" );
document.write( "...)<br><BR>\n" );
document.write( "= (1/2) + (1/2)(3/4)(1/2) + (1/2)(3/4)(1/2)(3/4)(1/2) + ...<br><BR>\n" );
document.write( "This is an infinite geometric series with first term 1/2 and common ratio (1/2)(3/4) = 3/8.<br><BR>\n" );
document.write( "The formula for the sum of an infinite geometric series with first term a and common ratio r (|r|<1) is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+a%2F%281-r%29 ALIGN=MIDDLE  ALT=\"S+=+a%2F%281-r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "You can do the calculation.... </SPAN>\n" );
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