document.write( "Question 1176431: Suppose you pay $3.00 to roll a fair die with the understanding that you will get back $5.00 for rolling a 4 or a 6, nothing otherwise. What is your expected value? \n" ); document.write( "

Algebra.Com's Answer #803325 by ikleyn(52824) $\"\"$ $\"About$

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document.write( "Of the total 36 possible outcomes, there are 3 (three) outcomes to get the sum of 4,\r\n" );
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document.write( "and there are 5 outcomes to get the sum of 6.\r\n" );
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document.write( "The probability to win is,  THEREFORE,   =  = .\r\n" );
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document.write( "Expected value of the game is   = -1.89 dollars per game.\r\n" );
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document.write( "It means that statistically, you lose 1.89 at each game, in average.\r\n" );
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\n" ); document.write( "\n" ); document.write( "If you want to learn this subject and this class of problems BETTER, DEEPER and WIDER, look into the lesson\r
\n" ); document.write( "\n" ); document.write( "    - Rolling a pair of fair dice \r
\n" ); document.write( "\n" ); document.write( "    - Math expectation of winning in games with rolling pair of dice \r
\n" ); document.write( "\n" ); document.write( "in this site. You will find there many other similar solved problems.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Solved problems on Probability\". \r
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\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
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