document.write( "Question 347790: If a fair die rolled once comes up 6 you win $100. Otherwise, you lose $15. Would a rational person play this game? Justify your answer, using the definition of E(X). \n" ); document.write( "

Algebra.Com's Answer #248664 by stanbon(75887) $\"\"$ $\"About$

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If a fair die rolled once comes up 6 you win $100. Otherwise, you lose $15. Would a rational person play this game? Justify your answer, using the definition of E(X).
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\n" ); document.write( "Probability of rolling a 6: 1/6
\n" ); document.write( "Probability of not rolling a 6: 5/6
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\n" ); document.write( "E(x) = (1/6)*100 + (5/6)(-15)
\n" ); document.write( "---
\n" ); document.write( "E(x) = (100 - 75)/6 = 25/6 = $4.17
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\n" ); document.write( "The player can expect to win $4.17 each time he/she plays the game.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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