Class 12 Maths Notes: Probability – Bayes’ Theorm

This theorem at times is also called inverse probability theorem.

Let us consider any event ‘A’ of sample space ‘S’ (as in the previous section). This event would have occurred due to the different causes (or due to the occurrence of any of the event A₁, A₂, L A_n).

Now, let us say that event A is found to have occurred and we have to find the probability that it has occurred to the occurrence of cause, say A_i.

That means we are interested in P(A_i/A). These types of problems are solved with the help of Bayes’ theorem.

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