document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=428822>Question 428822</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I am having a very hard time solving this stats problem and if someone could give me some assistance I would be ever greatful. The question is as follows. \"There is a new game and a friend asks your advice on playing it. Like yahtzee, it is played with 5 fair sided dice. The game costs $1 to play. The player wins $50 for rolling a total greater than 27. What is your friends expected gain or loss for one play? Be sure to consider all possible cases\"                                                                    I am pretty sure that I should use a multinomial for this problem but I don't have any idea how to set it up. I would appreciate it very much if someone could run me through how to do it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #297979 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=297979\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"There is a new game and a friend asks your advice on playing it. Like yahtzee, it is played with 5 fair sided dice. The game costs $1 to play. The player wins $50 for rolling a total greater than 27. What is your friends expected gain or loss for one play?<BR>\n" );
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document.write( "Throwing five 6-sided dice you can get 6^5 = 7776 different results.<BR>\n" );
document.write( "You would have to count the number of results that have a sum <BR>\n" );
document.write( "greater then 27; say that number is \"x\".<BR>\n" );
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document.write( "Then the probability of winning is x/7776.<BR>\n" );
document.write( "And probability of losing is [1-(x/7776)]<BR>\n" );
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document.write( "Random gain values are: 49 and -1<BR>\n" );
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document.write( "Expected gain is [49[x/7776]] + [-1[1-[x/7776]]<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  <BR>\n" );
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