Finite Math Examples

Determine if A and B are Mutually Exclusive Events
P(A)=0.64 , P(B)=0.22 , P(AorB)=0.99
Step 1
A and B 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 P(AB)=0 and it is not possible for A and B to be independent because P(A|B)=P(B|A)=0 for mutually exclusive A and B.
P(AB)=P(A)+P(B) for mutually exclusive events
Step 2
Add 0.64 and 0.22.
P(A)+P(B)=0.86
Step 3
P(AB)P(A)+P(B), which means that A and B are not mutually exclusive events.
A and B are not mutually exclusive events
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