Prove each of the following statements. (Assume that any conditioning event has positive probability.)
(a) If P{B) = 1, then P(A|B) = P(A) for any A.
(b) If A Š‚ B, then P{B|A) = 1 and P(A|B) = P(A)/P(B).
(c) If A and B are mutually exclusive, then

(d) P(A ˆ©B ˆ© C) = P(AB n C)P(BC)P(C).
Prove each of the following statements. (Assume that any conditioning event has positive probability.)
(a) If P{B) = 1, then P(A|B) = P(A) for any A.
(b) If A Š‚ B, then P{B|A) = 1 and P(A|B) = P(A)/P(B).
(c) If A and B are mutually exclusive, then

(d) P(A ˆ©B ˆ© C) = P(AB n C)P(BC)P(C).

Transcribed Image Text:

P(A) PlAIAU B)= P(A)+ P(可 P(A) PlAIAU B)= P(A)+ P(可