Examveda

According to Baye's theorem, conditional probability is equal to

A. $$\frac{{P\left( {{E_i}} \right).P\left( {A/{E_i}} \right)}}{{\sum\limits_{i = 1}^n {P\left( {{E_i}} \right).P\left( {A/{E_i}} \right)} }}$$

B. $$\frac{{P\left( {A/{E_i}} \right)}}{{\sum\limits_{i = 1}^n {P\left( {{E_1}} \right).P\left( {A/{E_i}} \right)} }}$$

C. $$\frac{{P\left( {{E_i}/A} \right).P\left( {{E_i}} \right)}}{{\sum\limits_{i = 1}^n {P\left( {{E_i}} \right)} }}$$

D. $$\frac{{P\left( {{E_i}/A} \right)}}{{\sum\limits_{i = 1}^n {\left( {{E_i}} \right)} }}$$

Answer: Option A


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