add independent event and rule
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@ -189,6 +189,9 @@ $$P(A\cup B)=1$$
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The **principle of inclusion and exclusion** forms a general rule for the union between two *independent* events:
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The **principle of inclusion and exclusion** forms a general rule for the union between two *independent* events:
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$$P(A\cup B)=P(A)+P(B)-P(A\cap B)$$
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$$P(A\cup B)=P(A)+P(B)-P(A\cap B)$$
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For independent events:
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$$P(A\cap B)=P(A)\times P(B)$$
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### Conditional probability
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### Conditional probability
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A vertical bar is used between two events to denote that the event on the left occurs knowing that the right has already occurred.
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A vertical bar is used between two events to denote that the event on the left occurs knowing that the right has already occurred.
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