8F - Independent events
8F - Content video: Independent events
This video covers the theory and several examples relating to independent events in probability.
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Two events, \(A\) and \(B\), are independent if one event does not influence the probability of the other occurring. Mathematically, \(A\) and \(B\) are independent if and only if:
- \(Pr(A|B)=Pr(A)\)
- \(Pr(B|A)=Pr(B)\)
- \(Pr(A \cap B)=Pr(A)\times Pr(B)\)
The probability for the intersection, \(A\cap B\), for two independent events is: \[Pr(A \cap B)=Pr(A)\times Pr(B)\]
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■ A common error is for students to assume that two events are independent when they are not. |
Examples of independent events:
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Examples of non-independent events:
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