A sample space S yields three mutually exclusive and exhaustive events, A, B, and C, such that

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A sample space S yields three mutually exclusive and exhaustive events, A, B, and C, such that P(A) = 0.25 and P(A ∪ B) = 0.70.

a. Find P(C).

b. Find P(BC).

c. Find P(A ∩ C).

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