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I have a confusion between independent events and mutually exclusive events.

  • independent events is defined in terms of

probability of events while mutually exclusive is defined in terms of events (subset of sample space)

  • mutually exclusive events never have a common outcome but probability of events may have a common outcome. All i understand they donot have same meaning. So can i conclude that mutually exclusive events are independent while independent events may or may not be mutually exclusive events?
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    $\begingroup$ Mutually exclusive events are never independent since knowing one occurred gives you knowledge that the other event didn't occur $\endgroup$ – Mark Jan 29 at 4:52
  • $\begingroup$ @Mark so independent terms having non zero probabilities are also not mutually exclusive. $\endgroup$ – Sreetama ghosh hazra Jan 29 at 4:58
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    $\begingroup$ Yes you can see that by $P(A \cap B) = P(A)P(B) > 0$ showing that there is some probability both occur $\endgroup$ – Mark Jan 29 at 5:02
  • $\begingroup$ @Mark was i am wrong in telling that independent terms may have a common outcome? ie should it be independent terms always have a common outcome. $\endgroup$ – Sreetama ghosh hazra Jan 29 at 5:06
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    $\begingroup$ What is preventing you from using the definition to find out yourself? $\endgroup$ – Michael Jan 29 at 7:20

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