Solve the problem.Sheila, Susan, and Rosie want to divide a cake fairly using the lone chooser method. The chooser, Rosie, was determined by drawing straws. Sheila and Susan agreed that Sheila would make the division of the cake. Assuming that each of them plays the game correctly, which of the following statements [A), B), C) or D)] cannot be true?
A. Rosie believes that her share is worth 2/3 of the cake; Susan believes that her share is worth 1/2 of the cake; Sheila believes that her share is worth 1/3 of the cake.
B. Rosie believes that her share is worth 1/3 of the cake; Susan believes that her share is worth 1/2 of the cake; Sheila believes that her share is worth 1/3 of the cake.
C. Rosie believes that her share is worth 1/3 of the cake; Susan believes that her share is worth 1/3 of the cake; Sheila believes that her share is worth 2/3 of the cake.
D. Rosie believes that her share is worth 1/3 of the cake; Susan believes that her share is worth 1/3 of the cake; Sheila believes that her share is worth 1/3 of the cake.
E. none of these
Answer: C
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