P[(B /C) U (C / B)]

what is the meaning of the expressions above?

is it equal P(B /C) + P (C / B)- P(C joint B)

and when P(C joint B)=0, P[(B /C) U (C / B)]=0

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- Aug 16th 2011, 12:53 PMparkloverUnion of Conditional probability
P[(B /C) U (C / B)]

what is the meaning of the expressions above?

is it equal P(B /C) + P (C / B)- P(C joint B)

and when P(C joint B)=0, P[(B /C) U (C / B)]=0 - Aug 16th 2011, 12:56 PMPlatoRe: Union of Conditional probability
- Aug 16th 2011, 01:14 PMparkloverRe: Union of Conditional probability
- Aug 16th 2011, 01:25 PMPlatoRe: Union of Conditional probability
Often $\displaystyle B\setminus C$ is written $\displaystyle B-C$ and it means $\displaystyle B\cap \overline{C}$ where $\displaystyle \overline{C}$ is $\displaystyle C$ complement.

So $\displaystyle \mathcal{P}[(B\setminus C)\cup (C\setminus B)]=\mathcal{P}(B)+\mathcal{P}(C)-2\mathcal{P}(B\cap C)$.