document.write( "Question 1156838: Sam and Dana have bet money on a card game they are playing against each other. Sam pays $1 to play, and Dana pays $4. They will shuffle a deck of cards and flip over the top card. If the top card is a heart, club, or diamond, Dana gets all $5. If the top card is a spade, then Sam gets all $5.\r
\n" ); document.write( "\n" ); document.write( "a) What is the expected value of this game to Dana?\r
\n" ); document.write( "\n" ); document.write( "The expected value of this game to Dana is
\n" ); document.write( ". (Enter a number rounded to two decimal places.)\r
\n" ); document.write( "\n" ); document.write( "b) If they play this game 10 times, what is the expected profit/loss for Sam?\r
\n" ); document.write( "\n" ); document.write( "The expected profit/loss for Sam is
\n" ); document.write( ". (Enter a number rounded to two decimal places.)
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Dana gets $5*(0.75)-4=-$0.25
\n" ); document.write( "Sam gets $5*(0.25)-1=+$0.25\r
\n" ); document.write( "\n" ); document.write( "For Sam, the E(X) for 10 times is +$2.50.
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