document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=436404>Question 436404</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please show me how to do this problem. I got answers but they were not correct.\r<BR>\n" );
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document.write( "[   ][   ][   ][ c ][   ][   ][ z ]\r<BR>\n" );
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document.write( "If a route (with no backtracking) from A to Z is randomly chosen, what is the probability that the route passes through point B? Answer in fraction.\r<BR>\n" );
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document.write( "Given that a route passes through B, what is the probability that it also passes through point C? Answer in fraction.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #301988 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=301988\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I will assume that there are only 2 allowed movements: to the right and down.<BR>\n" );
document.write( "Number of ways of going from a to b is 3C2 = 3.  Number of ways of going from b to z is 5C4 = 5.  The number of ways of going from a to z is 8C2 = 28.<BR>\n" );
document.write( "==> the probability that the route passes through point B is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2A5%29%2F28+=+15%2F28 ALIGN=MIDDLE  ALT=\"%283%2A5%29%2F28+=+15%2F28\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "==> Given that a route passes through B, the probability that it also passes through point C is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2A2%2A1%29%2F28+=+3%2F14 ALIGN=MIDDLE  ALT=\"%283%2A2%2A1%29%2F28+=+3%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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