Possibility of a sample space containing the following:

[SavvyAA3]

[SOLVED] Possibility of a sample space containing the following:

Will it ever be possible for a sample space (the set of all possible outcomes of a probability experiment) to contain outcomes that are both independent of each other but in fact also mutually exclusive?

Please note I am considering one experiment and not many. Also note I am considering this one experiment to consist of several outcomes.

Your help would be greatly appreciated.

 

[mathman]

No. Mutually exclusive P(A*B)=0. Independent P(A*B)=P(A)xP(B). The only time they are the same is when one of the events has 0 probability. (* denotes intersection)

 

[SavvyAA3]

Thanks!