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Math Help - Prove or show..is it possible

  1. #1
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    Prove or show..is it possible

    That for any three events A,B, and C with P(C)>0,
    P(A U B|C) = P(A|C) + P(B|C) - P(Aint.B|C)
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  2. #2
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    Notice that P\left[ {\left( {A \cap C} \right) \cup \left( {B \cap C} \right)} \right] = P\left[ {\left( {A \cap C} \right)} \right] + P\left[ {\left( {B \cap C} \right)} \right] - P\left[ {\left( {A \cap B \cap C} \right)} \right]

    Moreover, P\left[ {\left( {A \cap B \cap C} \right)} \right] = P\left[ {\left( {A \cap B} \right)|C} \right]P(C)
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