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if P(A|B) = P(B|A) then P(A) = P(B) . true or false? and the reason?

if P(A|B) = P(B|A) then P(A) = P(B) . true or false? and the reason?

Math   Statistics-And-Probability   
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Answer #1

is the conditional probability of A given B, i.e. denotes the probability of occurrence of the event under the condition event has already occurred. So, that way, is defined as--

Similarly, is the conditional probability of given , i.e. denotes the probability of occurrence of the event under the condition event   has already occurred. So, that way, is defined as--

So, if then,

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