Question

two events are considered to be mutually exclusive if the events are also independent. true false

Explanation:

Mutually - exclusive events cannot occur simultaneously, so if \(A\) and \(B\) are mutually exclusive, \(P(A\cap B)=0\). Independent events satisfy \(P(A\cap B)=P(A)P(B)\). If non - zero probability independent events \(P(A)>0\) and \(P(B)>0\), \(P(A)P(B)>0
eq0\) (the value for mutually - exclusive events). So mutually exclusive and independent events are different concepts.

Answer:

False