document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=436879>Question 436879</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The game of heads up is played by flipping two coins. If they both land heasds up, you win $12. If only one lands heads up,you win$12. If no conis land heads up, you win $8. If you pay $15 to play the game each time the coins are flipped, is the game a fair game? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #302230 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=302230\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The game of heads up is played by flipping two coins. <BR>\n" );
document.write( "If they both land heasds up, you win $12. <BR>\n" );
document.write( "If only one lands heads up,you win$12. <BR>\n" );
document.write( "If no conis land heads up, you win $8. <BR>\n" );
document.write( "If you pay $15 to play the game each time the coins are flipped, is the game a fair game?<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "Random gain values: 12,12,8,-15<BR>\n" );
document.write( "Matching probs are: 1/4,1/2,1/4,0<BR>\n" );
document.write( "----<BR>\n" );
document.write( "E(x) = 12*(1/4)+12(1/2)+8(1/4)+-15(0)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "E(x) = 3+6+2 = $11<BR>\n" );
document.write( "----<BR>\n" );
document.write( "I doubt that you have posted this problem correctly.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );