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Probability of union event

chengeto

New member
Joined
Feb 28, 2009
Messages
49
\(\displaystyle P(B \prime \cup C)= P(1-P(B)) + P(C) - P ( B \cap C)\)


I am in the right direction trying to find the probability of compliment B union C ?
 

pka

Elite Member
Joined
Jan 29, 2005
Messages
7,688
\(\displaystyle \begin{array}{rcl} {P(B' \cup C)} & = & {P(B') + P(C) - P(B' \cap C)} \\ {} & = & {1 - P(B) + P(C) - \left[ {P(C) - P(B \cap C)} \right]} \\ {} & = & {1 - P(B) + P(B \cap C)} \\ \end{array}\)
 
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