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2.For three events A, B, and C, the following is known: P(A) = P(B) = P(C), P(BC) = 0.2P(B C), P(AB) = P(AC) = 0,

2.For three events A, B, and C, the following is known: P(A) = P(B) = P(C), P(BC) = 0.2P(B C), P(AB) = P(AC) = 0, and the probability of no events occurring is 0.1

(a) Sketch a Venn diagram that matches the information provided about the three events.

(b) Find P(B).

(c) Find P(ABC).

(d) Find P[(A B) Cc].

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