document.write( "Question 1142582: Suppose a local symphony decides to raise money by raffling off a microwave oven
\n" );
document.write( "worth $200, a dinner for two worth $100, and 4 books worth $20 each, total of 1000
\n" );
document.write( "tickets are sold at $1 each. Find the expected value of winning for a person who buys
\n" );
document.write( "1 ticket in the raffle. \n" );
document.write( "
Algebra.Com's Answer #763279 by ikleyn(52909) You can put this solution on YOUR website! . \n" ); document.write( "Suppose a local symphony decides to raise money by raffling off a microwave oven \n" ); document.write( "worth $200, \n" ); document.write( "a dinner for two worth $100, and 4 books worth $20 each, total of 1000 \n" ); document.write( "tickets are sold at $1 each. \n" ); document.write( "Find the expected value of winning for a person who buys 1 ticket in the raffle. \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let me note some positions in the problem formulation, that seem to be questionable to me and need to be clarified:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " 1. Is my understanding correct that the \"dinner for two worth $100\" goes as the winning prize for 1 ticket only \r\n" ); document.write( "\r\n" ); document.write( " (and not for 2 tickets, as @greenestamps suggests) ?\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 2. Is my understanding correct that the \"dinner for two\" is worth $100, and not $200, as @greenestamps suggest ?\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 3. Are 4 books at the price of $20 each FOUR different prizes for 4 tickets or just ONE prize for 1 ticket ?\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Please respond.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Thank you.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "/\/\/\/\/\/\/\/\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Dear Edwin,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I got your question to me in the comment section. \r \n" ); document.write( "\n" ); document.write( "Thank you for asking.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I do not think that your solution to this problem is (was) correct.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The repeating experiment, which is behind this problem, is taking one (ONE) ticket at the beginning of each game,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "and, therefore, calculation of the Math expectation is performed as it is done by @greenestamps in his corrected solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Again, thank you for asking.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You are one of the best tutors in this forum: knowledgeable; accurate; your tone is always adequate \n" ); document.write( "and always in perfect equilibrium with the environment.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |