document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1168144>Question 1168144</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The probability of a dry day is 5/6. <BR>\n" );
document.write( "If it is a dry day, the probability that Devonte cycles to work is 1/4, that he drives to work is 1/4, and that he takes the train to work is 1/2. <BR>\n" );
document.write( "If it is a wet day, the probability that Devonte cycles to work is 2/15, <BR>\n" );
document.write( "that he drives to work is 2/15, and that he takes the train to work is 11/15. <BR>\n" );
document.write( "Determine the probability that Devonte takes the train to work.\r<BR>\n" );
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document.write( "If anyone could help me with this question, that would be great :D<BR>\n" );
document.write( "I do not understand even after reviewing my notes. Please and thank you so much!<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 #792760 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=792760\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the probability of taking the train is the sum of the probability of taking the train given that it is a dry day plus the probability of taking the train given that it is a wet dry.\r<BR>\n" );
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document.write( "the probability that it is a dry day is 5/6 and the probability that it is a wet day is 1/6.\r<BR>\n" );
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document.write( "the probability of taking the train given that it is a dry day is 1/2.\r<BR>\n" );
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document.write( "the probability of taking the train given that it is a wet day is 11/15.\r<BR>\n" );
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document.write( "the probability of taking the train is therefore 5/6 * 1/2 + 1/6 * 11/15 = 5/12 + 11/90 = 75/180 + 22/180 = 97/180 = .5389\r<BR>\n" );
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