Question: Four events , , , A,B,C, and D are such that A and B are mutually exclusive (disjoint) and D is contained in ( )

Four events , , , A,B,C, and D are such that A and B are mutually exclusive (disjoint) and D is contained in ( ) (ABC) c . Moreover, ( ) = ( ) = 0.2 P(AC c )=P(BC c )=0.2, and ( ) = 0.1 P(D)=0.1. Find: (a) (1 point) The probability that none of the events occur. (b) (2 points) The probability that exactly two of the events occur. (c) (1 point) The probability that at most two of the events occur. (d) (2 points) The probability that exactly one of the events occur

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