II Let A, B, C, and D be arbitrary events in a sample space 12. i) Express each of the following events in terms of A, B
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II Let A, B, C, and D be arbitrary events in a sample space 12. i) Express each of the following events in terms of A, B
questions. ii) a) Are the events A and B disjoint? b) Are the events AnC and BNC disjoint? c) Are the events AUC and BUC disjoint? d) Are the events A and Bº disjoint?
II Let A, B, C, and D be arbitrary events in a sample space 12. i) Express each of the following events in terms of A, B, C, and D, using intersections, unions and complements. a) At least three of the events, A, B, C, D occur. b) Exactly two of the events, A, B, C occur. CanBnce]u[ANCABC]u[RO CnA] c) Exactly one of the events , A, B, C, occur.Cancenca lucenicna)]u[anca nos)] d) Not more than one of the events, A, B, C occur. CANB)u(BnC)u(c942] Suppose A and B are disjoint ie. AnB = . Justify your answers to the following