I have question on probability : 

* $H$ occurs $\implies$ $C$ occurs
* $H$ does not occur $\implies$ $C$ can occur or cannot
* if i want to compute $P(H|C)=\dfrac{P(H).P(C|H)}{P(C)}$ does $P(C|H)=1$ ? If yes then $P(H|C)=\dfrac{P(H)}{P(H)+P(H^c)(1-P(C))}$
?