document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1051635>Question 1051635</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Expected Value\r<BR>\n" );
document.write( "\n" );
document.write( "A bag contains 2 gold marbles, 7 silver marbles, and 23 black marbles. Someone offers to play this game: You randomly select one marble from the bag. If it is gold, you win $4. If it is silver, you win $2. If it is black, you lose $1.\r<BR>\n" );
document.write( "\n" );
document.write( "What is your expected value if you play this game?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #667104 by </B><A HREF=/tutors/aboutme.mpl?userid=jorel555><B>jorel555(1290)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jorel555><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=667104\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since there are 32 total marbles in the bag, you have:<BR>\n" );
document.write( "4(2/32)+2(7/32)-1(23/32)=expected value<BR>\n" );
document.write( ".25+.4375-.71875=-$.03125, or an expected loss of about 3 cents. &#9786;&#9786;&#9786;&#9786; </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );