Why Product of Probabilities (Masses) for Independent Events? A Theorem
نویسندگان
چکیده
For independent events A and B, the probability P (A & B) is equal to the product of the corresponding probabilities: P (A&B) = P (A) · P (B). It is well known that the product f(a, b) = a ·b has the following property: once n ∑ i=1 P (Ai) = 1 and m ∑ j=1 P (Bj) = 1, the probabilities P (Ai & Bj) = f(P (Ai), P (Bj)) also add to 1: n ∑
منابع مشابه
Why Product of Probabilities (Masses) for Independent Events? A Remark
For independent events A and B, the probability P (A & B) is equal to the product of the corresponding probabilities: P (A&B) = P (A) · P (B). It is well known that the product f(a, b) = a ·b has the following property: once n ∑ i=1 P (Ai) = 1 and m ∑ j=1 P (Bj) = 1, the probabilities P (Ai & Bj) = f(P (Ai), P (Bj)) also add to 1: n ∑
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