# Define Baye's Theorem

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Define Baye's Theorem

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Let E1, E2, E3, …, En be n mutually exclusive events associated with a random experiment. If A is an event which occurs as a result of the events (cases) E1, E2, E3, …, En then

$P(\frac{Ei}{A})$ = Probability of occurrence of event A as a result of a particular cause (event) E

$\frac{P(E_i).P(A)}{\displaystyle\sum_{i=1}^n P(E_i).P(\frac{A}{E_i})}$  i = 1,2,..., n