document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=256385>Question 256385</A>: <I><SPAN STYLE=\"word-break: break-all;\"> \"In a certain game you roll 3 dice and are given 1 dollar for each 5 that is rolled. So on each play you may earn 0, 1, 2, or 3 dollars. What are your expected earnings per play?\"<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 #188514 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=188514\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"In a certain game you roll 3 dice and are given 1 dollar for each 5 that is rolled. So on each play you may earn 0, 1, 2, or 3 dollars. What are your expected earnings per play?\"<BR>\n" );
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document.write( "P(no 5's) = (5/6)^3 = 125/216<BR>\n" );
document.write( "P(1 five) = 3(1/6)(5/6)^2 = 75/216<BR>\n" );
document.write( "P(2 fives) = 3(1/6)^2(5/6) = 15/216<BR>\n" );
document.write( "P(3 fives) = (1/6)^3 = 1/216<BR>\n" );
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document.write( "E(x) = (0*125+1*75+2*15+3*1)/216<BR>\n" );
document.write( "E(x) = (0 + 75 + 30 + 3)/216 = 108/216 = $0.50<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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