document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=628951>Question 628951</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You are playing a game in which you flip a coin three times. It costs $3 to play the game, which must be subtracted from your winnings. Calculate the expected value for the game. If all coins show the same side you win $7. If not, you lose your $3.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #395925 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=395925\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are playing a game in which you flip a coin three times. It costs $3 to play the game, which must be subtracted from your winnings. Calculate the expected value for the game. If all coins show the same side you win $7. If not, you lose your $3.<BR>\n" );
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document.write( "Random \"winning\" values::::::::::4::::::::-3<BR>\n" );
document.write( "Probabilities::::::::::::::::::::2/8::::::6/8<BR>\n" );
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document.write( "Expected winnings: (2*4 - 6*3)/8 = -10/8 = -$1.25<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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