document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122898>Question 1122898</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An experiment has four outcomes: o1, o2, o3, and o4, with corresponding weights w1, w2, w3, and w4, where w1=5k , w2=8k , w3=2k, and w4=5k. \r<BR>\n" );
document.write( "\n" );
document.write( "What is the value of k?  <BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "What is Pr({o1,o4})?  <BR>\n" );
document.write( " <BR>\n" );
document.write( "Enter your answers as whole numbers or fractions in lowest terms.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #739220 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13206)</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=739220\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "It's unusual to talk about \"weights\" in a problem like this; so I assume you mean the same thing as the probabilities....<br><BR>\n" );
document.write( "The sum of all the probabilities is 5k+8k+2k+5k = 20k; since the sum of all the probabilities is 1, k = 1/20.<br><BR>\n" );
document.write( "Pr({o1,o4}) = 5k+5k = 10k = 10/20 = 1/2. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );