document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=271158>Question 271158</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A carnival game is played as follows:  You pay $2 to draw a card from an ordinary deck of 52 playing cards.  If you draw an ace, you win $5.  You win $3 if you draw a face card (Jack, Queen, King)  and $10 if you draw the seven of spades.  If you pick anything else, you lose your $2.  On average, how much money can the operater expect to make per customer? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #198560 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=198560\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A carnival game is played as follows: You pay $2 to draw a card from an ordinary deck of 52 playing cards. If you draw an ace, you win $5. You win $3 if you draw a face card (Jack, Queen, King) and $10 if you draw the seven of spades. If you pick anything else, you lose your $2. On average, how much money can the operater expect to make per customer?<BR>\n" );
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document.write( "Profit values: 2-5 ;2-3 ; 2-10 ; 2  <BR>\n" );
document.write( "Probabilities:4/52 ; 12/52; 1/52; 35/52<BR>\n" );
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document.write( "Expected profit: (4/52)(-3) + (12/52)(-1) + (1/52)(-8) + (35/52)(2)<BR>\n" );
document.write( "= (-12 -12 -8 + 70)/52<BR>\n" );
document.write( "= 38/52<BR>\n" );
document.write( "= $0.73 profit on each game played<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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