# Are mutually exclusive events are always independent?

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?
• Mutually exclusive events are never independent since knowing one occurred gives you knowledge that the other event didn't occur – Mark Jan 29 at 4:52
• @Mark so independent terms having non zero probabilities are also not mutually exclusive. – Sreetama ghosh hazra Jan 29 at 4:58
• Yes you can see that by $P(A \cap B) = P(A)P(B) > 0$ showing that there is some probability both occur – Mark Jan 29 at 5:02
• @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. – Sreetama ghosh hazra Jan 29 at 5:06
• What is preventing you from using the definition to find out yourself? – Michael Jan 29 at 7:20