document.write( "Question 379527: In a carnival game the player selects balls one at a time, without replacement, from a urn containing two red and four white balls. The game proceeds until a red ball is drawn. The player pays $1 to play the game and receives $0.50 for each ball drawn. Contruct a probability distribution table for the player's earnings for this game and find a player's expected value for this game. \r
\n" ); document.write( "\n" ); document.write( "I do not have a clue how to do this, please helppppp.. The answer is $0.17, but how...\r
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Algebra.Com's Answer #269459 by robertb(5830) $\"\"$ $\"About$

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Let R = random variable representing the player's earnings for this game.
\n" ); document.write( "The elements of the sample space of drawings are {r, wr, wwr, wwwr, wwwwr}
\n" ); document.write( "The probability of the outcome r is 1/3. The earning is 0.50-1 = -0.50.
\n" ); document.write( "The probability of the outcome wr is 4/15. The earning is 2*0.50 - 1 = 0.
\n" ); document.write( "The probability of the outcome wwr is 1/5. The earning 3*0.50 - 1 = 0.50.
\n" ); document.write( "The probability of the outcome wwwr is 2/15. the earning is 4*0.50 - 1 = 1.00.
\n" ); document.write( "The probability of the outcome wwwwr is 1/15. The earning is 5*0.50 - 1 = 1.50.\r
\n" ); document.write( "\n" ); document.write( "R=r | -0.50 0 0.50 1.00 1.50
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\n" ); document.write( "P(r) | 1/3 4/15 1/5 2/15 1/15\r
\n" ); document.write( "\n" ); document.write( "Then $\"mu+=+-0.50%2F3+%2B+0+%2B+0.50%2F5+%2B+2.00%2F15+%2B+1.50%2F15+=+0.1666666....\"$ , or $0.17, his expected earnings. \n" ); document.write( "

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