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As a project for math class two students devised a game in which 3 black...

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Calculus

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As a project for math class two students devised a game in which 3 black marbles and 2 red marbles are put into a bag First the players must decide who is playing black marbles and who is playing red marbles Then each player takes a turn at drawing a marble noting the color replacing the marble in the bag and then drawing a second marble and noting the color before returning it to the bag The point scheme for the game is detailed in the table below Point Values for Marble Game Black Marble Points Both black 2 points Different colors 1 point Both red 0 points Red Marble Points Both red 4 points Different colors 1 point Both black 0 points If Seth is challenged to a game by a classmate which statement below is correct in all aspects in helping him make the correct choice Since E black 0 24 and E red 0 16 Seth should choose to play black marbles E red will be twice that of E black so Seth should choose to play red marbles Since E red E black it is a fair game so it doesn t matter which color Seth chooses

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