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Question

Let A, B, and C be events.

(a) Express the event D that only one of A, B, or C occurs using set operations and draw the corresponding Venn diagram.

(b) Assume A ∪ B ∪ C = Ω. For any two among A, B, and C, let the probability that they occur simultaneously be 1/4. Let the probability that they all occur simultaneously be 1/8. What is the probability of D?

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Let A, B, and C be events. (a) Express the event D that only one of A, B, or C occurs using set operations and draw the corresponding Venn diagram.
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