document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1147245>Question 1147245</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bag contains 4 gold marbles, 9 silver marbles, and 23 black marbles. The rules of the game are as follows: You randomly select one marble from the bag. If it is gold, you win $5, if it is silver, you win $3. If it costs $1 to play, what is your expected profit or loss if you play this game? </SPAN>\n" );
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document.write( "Expected value:  Find the probability of getting each color marble; multiply each probability by the value of that marble (winnings, minus the $1 cost of playing); and add those products.<br><BR>\n" );
document.write( "gold marble: probability 4/36; value (-1+5) = 4<BR>\n" );
document.write( "silver marble: probability 9/36; value (-1+3) = 2<BR>\n" );
document.write( "black marble: probability 21/36; value -1<br><BR>\n" );
document.write( "expected value:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28%284%29%2F36%29%2B%282%29%289%2F36%29%2B%28-1%29%2821%2F36%29+=+13%2F36 ALIGN=MIDDLE  ALT=\"4%28%284%29%2F36%29%2B%282%29%289%2F36%29%2B%28-1%29%2821%2F36%29+=+13%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );