Mixing
Are mutually exclusive events are always independent?
0
$begingroup$
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?
probability probability-theory
asked Jan 29 at 4:48
Sreetama ghosh hazraSreetama ghosh hazra
11
$endgroup$
add a comment |
0
$begingroup$
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?
probability probability-theory
asked Jan 29 at 4:48
Sreetama ghosh hazraSreetama ghosh hazra
11
$endgroup$
1
$begingroup$
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
1
$begingroup$
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
1
$begingroup$
What is preventing you from using the definition to find out yourself?
$endgroup$
– Michael
Jan 29 at 7:20
add a comment |
0
0
0
$begingroup$
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?
probability probability-theory
asked Jan 29 at 4:48
Sreetama ghosh hazraSreetama ghosh hazra
11
$endgroup$
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?
probability probability-theory
probability probability-theory
asked Jan 29 at 4:48
Sreetama ghosh hazraSreetama ghosh hazra
11
asked Jan 29 at 4:48
Sreetama ghosh hazraSreetama ghosh hazra
11
edited Jan 29 at 5:00
Sreetama ghosh hazra
asked Jan 29 at 4:48
Sreetama ghosh hazraSreetama ghosh hazra
11
asked Jan 29 at 4:48
Sreetama ghosh hazraSreetama ghosh hazra
11
asked Jan 29 at 4:48
Sreetama ghosh hazraSreetama ghosh hazra
11
11
1
$begingroup$
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
1
$begingroup$
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
1
$begingroup$
What is preventing you from using the definition to find out yourself?
$endgroup$
– Michael
Jan 29 at 7:20
add a comment |
1
$begingroup$
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
1
$begingroup$
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
1
$begingroup$
What is preventing you from using the definition to find out yourself?
$endgroup$
– Michael
Jan 29 at 7:20
1
1
$begingroup$
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
$begingroup$
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
$begingroup$
@Mark so independent terms having non zero probabilities are also not mutually exclusive.
$endgroup$
– Sreetama ghosh hazra
Jan 29 at 4:58
1
1
$begingroup$
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
$begingroup$
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
$begingroup$
@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
1
1
$begingroup$
What is preventing you from using the definition to find out yourself?
$endgroup$
– Michael
Jan 29 at 7:20
$begingroup$
What is preventing you from using the definition to find out yourself?
$endgroup$
– Michael
Jan 29 at 7:20
add a comment |
0
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1
$begingroup$
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
1
$begingroup$
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
1
$begingroup$
What is preventing you from using the definition to find out yourself?
$endgroup$
– Michael
Jan 29 at 7:20