6 Matching Annotations
- Aug 2023
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stats.libretexts.org stats.libretexts.org
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P(A OR B)=P(A)+P(B)
Addition Rule #1
- Events that are mutually exclusive!
*** think - there should be NO overlap outcomes between events! ***
- Remember to add all of the trail event outcomes!
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P(A OR B)=P(A)+P(B)−P(A AND B)
Addition Rule #2
- Events that are NOT mutually exclusive!
*** think - it has overlap outcomes between events! ***
- Remember to subtract the overlap outcomes!
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stats.libretexts.org stats.libretexts.org
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7,9
Note that Event A and Event C does NOT have similar number outcomes.
Since there is no overlap, this would make both events as mutually exclusive!
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4,5
Note that Event A and Event B have overlap.
They both have the same outcome number: 4 and 5
Which means that there are 2 outcomes that occurs. This makes Event A and Event B NOT mutually exclusive!
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Without replacement
Event A affects the change sample space (sum) for Event B.
Event B's sample space will be smaller compared to Event A's sample space.
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With replacement
Event A does not change sample space (sum) for Event B
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