document.write( "Question 699923: Consider this game: In each turn of the game, you flip a coin three times. If you get three heads, you win 7 points. If you get the sequence “head, tail, head,” you win 3 points. If you get any other sequence, you receive no points for that turn. What is your expected value per turn for this game?
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document.write( "Answers:
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document.write( " 1.25 points
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document.write( " 10 points
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document.write( " 2.5 points
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document.write( " 4 points
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Algebra.Com's Answer #431579 by Edwin McCravy(20054)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Outcomes x=Winnings p=Probability x·p\r\n" ); document.write( "-----------------------------------------------\r\n" ); document.write( " HHH 7 pts. 1/8 7/8 pts.\r\n" ); document.write( " HHT 0 pts. 1/8 0 pts.\r\n" ); document.write( " HTH 3 pts. 1/8 3/8 pts.\r\n" ); document.write( " HTT 0 pts. 1/8 0 pts. \r\n" ); document.write( " THH 0 pts. 1/8 0 pts. \r\n" ); document.write( " THT 0 pts. 1/8 0 pts.\r\n" ); document.write( " TTH 0 pts. 1/8 0 pts.\r\n" ); document.write( " TTT 0 pts. 1/8 0 pts.\r\n" ); document.write( "-----------------------------------------------\r\n" ); document.write( " ∑x·p = 10/8 = 5/4 = 1.25\r\n" ); document.write( "Edwin\n" ); document.write( " |