document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=602144>Question 602144</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help me solve this problem?<BR>\n" );
document.write( "' At this years state fair, there was a dice rolling game. If you rolled two dice and got a sum of 2 or 12, you won $20. If you rolled a 7, you won $5. Any other roll was a loss. If the cost is $3 to play one game with one roll of the dice. What is the expectation of the game? '  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #380140 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=380140\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> At this years state fair, there was a dice rolling game. If you rolled two dice and got a sum of 2 or 12, you won $20. If you rolled a 7, you won $5. Any other roll was a loss. If the cost is $3 to play one game with one roll of the dice. What is the expectation of the game? ' <BR>\n" );
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document.write( "Random winning values:..........17.....2.....-3<BR>\n" );
document.write( "Corresponding Probabilities:....2/36...6/36...28/36<BR>\n" );
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document.write( "Multiply each \"winning value\" by its probability; then add the products<BR>\n" );
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document.write( "E(x) = [2*17 + 6*2 - 28*3]/36<BR>\n" );
document.write( "E(x) = [34 + 12 - 84]/36<BR>\n" );
document.write( "E(x) = -38/36<BR>\n" );
document.write( "E(x) = -$1.06<BR>\n" );
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document.write( "You can expect to lose $1.06 each time you play the game.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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