Como se expressa o Teorema de Bayes para calcular P(H|E)?

Teorema de Bayes
\(P(H\mid E)=\dfrac{P(H)P(E\mid H)}{\sum_i P(H_i)P(E\mid H_i)}\)
Exemplo:
\(P(H_1)=0.6,\ P(H_2)=0.4,\ P(E\mid H_1)=0.5,\ P(E\mid H_2)=0.2\)
\(P(H_1\mid E)=\dfrac{0.6\cdot0.5}{0.6\cdot0.5+0.4\cdot0.2}=\dfrac{0.3}{0.38}\approx0.789\)