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Prove that P(X) =P(X|F)P(F) +P(X| F)P( F). Hint: Explain why P(X|F)P(F) =P(XF) is another way of writing the definition of conditional probability.

Prove that P(X) =P(X|F)P(F) +P(X| F)P( F). Hint: Explain why P(X|F)P(F) =P(XF) is another way of writing the definition of conditional probability.

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