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. Marge has twin siblings, Andy and Ben. Marge believes that each of them will be accepted to anford with uncertain probability X. She believes

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. Marge has twin siblings, Andy and Ben. Marge believes that each of them will be accepted to anford with uncertain probability X. She believes that if she knew X then their acceptances ould be irrelevant. Because Andy and Ben are bat iends, Marge is worried about what will Lppen if only one is accepted and wants to know whether this is likely to happen. ow many of the following statements are correct? I. If Marge is uncertain about X, it is most likely that one twin will he accepted and one will be rejected. [L It is most likely that Andy and Ben will be split up (i.e., one rejected, one accepted) if X = 0.5 with probability 1. If E [X] > 0.5 it is more likely that Andy and Ben will remain together. ii. If she is uncertain about X then it is more likely that Andy and Ben will remain together. F

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