Probability Rules
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Last updated 2:16 AM on 10/31/23
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10 Terms
1
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Law of Large Numbers
The more trials we observe of any random process, the proportion of times that a specific outcome occurs approaches its probability
2
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Complement Rule
P(A) = 1 - P(Ac)
3
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Mutually Exclusive Events
P(A∩B) = 0
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Addition Rule for Mutually Exclusive Events
P(AUB) = P(A) + P(B)
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General Addition Rule
P(AUB) = P(A) + P(B) - P(A∩B)
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Conditional Rule
P(A|B) = P(A∩B)/P(B)
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Independent Events
P(A|B) = P(A|Bc) = P(A)
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Never
Mutually exclusive events can ? be independent
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General Multiplication Rule
P(A∩B) = P(A) x P(B|A)
10
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Multiplication Rule for Independent Events
P(A∩B) = P(A) x P(B)