document.write( "Question 1206558: A game involves selecting a card from a regular 52-card deck and tossing a coin. The coin is a fair coin and is equally likely to land on heads or tails.
\n" ); document.write( "• If the card is a face card, and the coin lands on Heads, you win $9
\n" ); document.write( "• If the card is a face card, and the coin lands on Tails, you win $2
\n" ); document.write( "• If the card is not a face card, you lose $2, no matter what the coin shows.
\n" ); document.write( "Find the expected value for this game (expected net gain or loss). (Round your answer to two decimal places.) \n" ); document.write( "

Algebra.Com's Answer #844112 by ikleyn(52812) $\"\"$ $\"About$

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\n" ); document.write( "A game involves selecting a card from a regular 52-card deck and tossing a coin.
\n" ); document.write( "The coin is a fair coin and is equally likely to land on heads or tails.
\n" ); document.write( "• If the card is a face card, and the coin lands on Heads, you win $9
\n" ); document.write( "• If the card is a face card, and the coin lands on Tails, you win $2
\n" ); document.write( "• If the card is not a face card, you lose $2, no matter what the coin shows.
\n" ); document.write( "Find the expected value for this game (expected net gain or loss). (Round your answer to two decimal places.)
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\n" ); document.write( "\n" ); document.write( "        @Theo produced many words, but made errors in his arithmetic calculastions; so, his answer is incorrect.\r
\n" ); document.write( "\n" ); document.write( "        He literally drown in a sea of words.\r
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\n" ); document.write( "\n" ); document.write( "        I came to bring a correct solution.\r
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document.write( "In all, there are 52 cards in a standard deck; of them, 4*3 = 12 are face cards.\r\n" );
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document.write( "P(face card and coin lands on Head) =  =  = .\r\n" );
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document.write( "P(face card and coin lands on Tail) =  =  = .\r\n" );
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document.write( "P(card is not face) =  =  = .\r\n" );
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document.write( "The expected value of the game is \r\n" );
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document.write( "    E =  +  -  =  +  -  =  =  = -0.26923 (rounded).\r\n" );
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document.write( "ANSWER.  The expected value of the game is ,  or -0.26923 dollars per game,\r\n" );
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document.write( "         meaning loss of 0.26923 of a dollar per game, in average.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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