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Find the probability of event A when it is known that some event B occurred. From experiments, it has been determined that P(B|A) = 0.84, P(A) = 0.2, and P(B) = 0.34.



This question can be solved using Baye's Theorem. Baye's theorem can be stated mathematically as:


P(A|B) here implies the probability of occurrence of event A, given event B has already occurred.

We know that P(B|A) = 0.84

P(A) = 0.2

P(B) = 0.34


Inputting this in the equation, we get,

Solving this, we get 0.49. This is our required answer.

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