How is the addition rule of probability for two mutually exclusive events different from the rule for two mutually nonexclusive events?
Added by Nicol-S F.
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This can be mathematically represented as: \[ P(A \cup B) = P(A) + P(B) \] ** Show more…
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Writing Can two events with nonzero probabilities be both independent and mutually exclusive? Explain your reasoning. Addition Rule for Three Events $\quad$ The Addition Rule for the probability that event $A$ or $B$ or $C$ will occur, $P(A \text { or } B \text { or } C$ ), is given by $$ \begin{aligned} P(A \text { or } B \text { or } C)=P(A) &+P(B)+P(C)-P(A \text { and } B)-P(A \text { and } C) \\ &-P(B \text { and } C)+P(A \text { and } B \text { and } C) \end{aligned} $$
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