(b) Suppose that the experiment A has M mutually exclusive possible out- comes Am, and the experiment B has N mutually exclusive possible out- comes Bm. Then, show that we P(Bn|Am) may be expressed in terms of P(Am|Bn) and P(Bm) by the relation P(Am|Bn)P(Bn) E-1 P(Am|B;)P(B;) P(B„|Am) The is relation is known as Bayes' rule.

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