# Math Help - Calculating probability of an event

1. ## Calculating probability of an event

Find the probability of the following event :

$P(A \prime \cap C | B\prime )$

Attempt @ solution :

$P(A \prime \cap C | B\prime ) =\frac{P ( A \prime \cap C \cap B \prime)}{P(B \prime)}= \frac{P ( A \prime \cap C \cap B \prime)}{1-P(b)}$

I am stuck on how do deal with $P ( A \prime \cap C \cap B \prime)$ Is there a way l can simplify this thing ?

2. I'm not sure what you want to do here.
you can draw a venn diagram and see that

$P(A'B'C)=P(C)-P(AC)-P(BC)+P(ABC)$

But I'm not sure why you would want to do that.