document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=586452>Question 586452</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three unbiased 6 sided dice would be rolled at the same time. Each die had a W stamped on 3 sides and 3 sides that were plain. It would cost $1.00 to play and a player would receive $0.50 for each W they get.<BR>\n" );
document.write( "A. What is the sample space for possible outcomes?<BR>\n" );
document.write( "B. What is the expected value (how much would you expect to win or lose on average? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #373760 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=373760\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Three unbiased 6 sided dice would be rolled at the same time. Each die had a W stamped on 3 sides and 3 sides that were plain. It would cost $1.00 to play and a player would receive $0.50 for each W they get.<BR>\n" );
document.write( "A. What is the sample space for possible outcomes?<BR>\n" );
document.write( "www ; wwb ; wbw ; bww ; bbw ;bwb ; wbb ; bbb<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "B. What is the expected value (how much would you expect to win or lose on average?<BR>\n" );
document.write( "Random number of \"w's\": 0 ,1 , 2 , 3<BR>\n" );
document.write( "Corresponding probabilities: 1/8  ; 3/8 ;3/8 ; 1/8<BR>\n" );
document.write( "Random gain to the player: <BR>\n" );
document.write( "-100 for 0 w's) ; -50 for 1 w; 0 for 2 w's ; 50 for 3 w's <BR>\n" );
document.write( "----<BR>\n" );
document.write( "E(x) = (1/8)(-100) + (3/8)*-50 + (3/8)*0 : (1/8)*50<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= -100/8 - 150/8 + 0 + 50/8<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= -200/8<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= -25 cents<BR>\n" );
document.write( "===============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=============<BR>\n" );
document.write( "  <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );