Probability - Breaking up an event into unions of complements

  • #1
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Main Question or Discussion Point

Why is it that given 3 events, A, B, and C describe a sample space, then:

P(A) = P(ABCCC) + P(ABC)

Shouldn't it be:

P(A) = P(ABC) + P(ABCC) +P(ABCC) +P(ABCCC)

Thanks!
 

Answers and Replies

  • #2
tiny-tim
Science Advisor
Homework Helper
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Hi IniquiTrance! :smile:

Yes.
 

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