document.write( "Question 227876: I need tons of help on this one too..\r
\n" ); document.write( "\n" ); document.write( "The spinner on a wheel of fortune can land with an equal chance on any one of ten regions. Three (3) regions are red, four(4) are blue, two (2)are yellow and one(1) is green. A player wins $4 if the spinner stops on red and $2 if it stops on green. The player loses $2 if it stops on blue and loses $3 if it stops on yellow. Find the expected value of this game.\r
\n" ); document.write( "\n" ); document.write( "thanks so much!
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Algebra.Com's Answer #169273 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
this looks like it addresses your problem Expected Value\r
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\n" ); document.write( "\n" ); document.write( "In your problem, the probability and the payoffs are as follows:\r
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\n" ); document.write( "\n" ); document.write( "p(red) = 3/10 = .3
\n" ); document.write( "p(blue) = 4/10 = .4
\n" ); document.write( "p(yellow) = 2/10 = .2
\n" ); document.write( "p(green) = 1/10 = .1\r
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\n" ); document.write( "\n" ); document.write( "Sum of all probabilities equals 1 which it should.\r
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\n" ); document.write( "\n" ); document.write( "$4.00 payoff for red * .3 = $1.20
\n" ); document.write( "$2.00 payoff for green * .1 = $.20\r
\n" ); document.write( "\n" ); document.write( "$2.00 payback for blue * .4 = -$.80
\n" ); document.write( "$3.00 payback for yellow * .2 = -$.60\r
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\n" ); document.write( "\n" ); document.write( "Expected Value would be the sum of these = 1.2 + .2 - .8 - .6 = 1.4 - 1.4 = 0\r
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\n" ); document.write( "\n" ); document.write( "The spinner can expect to break even in the long run.\r
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