Yes.
Any dichotomous event will do.
Event 1: an integer is odd
Event 2: an integer is even
Or Male and Female (leaving out hermaphrodites!)
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Two events that cannot occur at the same time are called mutually exclusive. If two events are mutually exclusive what is the probability that both occur.
Mutually exclusive events are considered two events that cannot coexist with one another, in other words, if the first event is happening the second just cannot. Determining the probability for mutually exclusive events can be done by using the formula P ( A and B ) = 0.
Mutually exclusive. The two events can also be exhaustive if there is no other possibility. For example, if you believe in a state of spiritual limbo, then there is a third possible outcome. In that case death and life are no longer exhaustive.
If A and B are mutually exclusive event then Probability of A or B is P(A)+P(B). If they are not mutually exclusive then it is that minus the probability of the P(A)+P(B) That is to say P( A or B)= P(A)+P(B)- P(A and B). Of course it is clear that if they are mutually exclusive, P(A and B)=0 and we have the first formula.
It is the opposite of mutually exclusive. Potentially inclusive are events that can happen at the same time, as mutually exclusive events can't.