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Give the example of why probabilities of A given B and B given A are not same?
Wiki User
∙ 15y ago
Let's try this example (best conceived of as a squared 2x2 table with sums to the side). The comma here is an AND logical operator. P(A, B) = 0.1 P(A, non-B) = 0.4 P(non-A, B) = 0.3 P(non-A, non-B) = 0.2 then P(A) and P(B) are obtained by summing on the different sides of the table: P(A) = P(A, B) + P(A, non-B) = 0.1 + 0.4 = 0.5 P(B) = P(A,B) + P(non-A, B) = 0.1 + 0.3 = 0.4 so P(A given B) = P (A, B) / P (B) = 0.1 / 0.4 = 0.25 also written P(A|B) P(B given A) = P (A,B) / P (A) = 0.1 / 0.5 = 0.2 The difference comes from the different negated events added to form the whole P(A) and P(B). If P(A, non-B) = P (B, non-A) then P(A) = P(B) and also P(A|B) = P(B|A).
Wiki User
∙ 15y ago
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What is theoretical probability and theoretical probability?
They are the same. They are probabilities that are calculated from some theoretical model of the experiment using scientific laws.They are the same. They are probabilities that are calculated from some theoretical model of the experiment using scientific laws.They are the same. They are probabilities that are calculated from some theoretical model of the experiment using scientific laws.They are the same. They are probabilities that are calculated from some theoretical model of the experiment using scientific laws.
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What is theoretical probability and theoretical probability?
They are the same. They are probabilities that are calculated from some theoretical model of the experiment using scientific laws.They are the same. They are probabilities that are calculated from some theoretical model of the experiment using scientific laws.They are the same. They are probabilities that are calculated from some theoretical model of the experiment using scientific laws.They are the same. They are probabilities that are calculated from some theoretical model of the experiment using scientific laws.
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