document.write( "Question 1138185: Joe is playing a game of chance at the hibiscus festival, costing $1 for each game. In the game two fair dice are rolled and the sum of the numbers that turned up is found. If the sum is seven, then Joe wins $5. Otherwise loses his money. Joe play the game 15 times. Find his expected profit or lose. \n" ); document.write( "

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\n" ); document.write( "The probability of rolling a 7 is 1/6; the profit is -$1 + $5 = $4.

\n" ); document.write( "The probability of rolling any other sum is 5/6; the proft is -$1.

\n" ); document.write( "The expected profit for one game is

\n" ); document.write( " $\"%281%2F6%29%284%29%2B%285%2F6%29%28-1%29+=+4%2F6-5%2F6+=+-1%2F6\"$

\n" ); document.write( "If he plays the game 15 times, his expected profit is

\n" ); document.write( " $\"15%28-1%2F6%29+=+-15%2F6+=+-2.5\"$

\n" ); document.write( "ANSWER: his expected profit playing the game 15 times is -$2.50 -- i.e., a loss of $2.50. \n" ); document.write( "

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