Statistics Examples

Determine if A and B are Mutually Exclusive Events
, ,
Step 1
and are mutually exclusive events if they cannot occur at the same time. For example, tossing a coin once results in either head or tail, but not both. The probability of their joint occurrence is zero and it is not possible for and to be independent because for mutually exclusive and .
for mutually exclusive events
Step 2
Add and .
Step 3
, which means that and are not mutually exclusive events.
A and B are not mutually exclusive events
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