document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=546191>Question 546191</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose you pay $2.00 to roll a fair die with the understanding that you will get back $4.00 for rolling a 4 or a 5, nothing otherwise. What is your expected value? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #355911 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=355911\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose you pay $2.00 to roll a fair die with the understanding that you will get back $4.00 for rolling a 4 or a 5, nothing otherwise. What is your expected value?<BR>\n" );
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document.write( "Random \"winning\" values:::::::::::2::::::::-2<BR>\n" );
document.write( "Corresponding probabilities:::::::2/6::::::4/6<BR>\n" );
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document.write( "E(x) = (1/3)2 + (2/3)(-2) = (2-4)/3 = -2/3 = -$0.66<BR>\n" );
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document.write( "You can expect to lose 66 cents each time you play.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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