Two events are mutually exclusive if the probability of their intersection is 0 and they have no sample points in common. Hence, option D is the correct answer.
The two events are called mutually exclusive when they have no sample points in common. Thus, the probability of event A and event B happening is zero. this means that their intersection set is the empty set.
let us take an example-
Let A be a set of odd numbers and B be a set of even numbers.
A = {1,3,5,7,9}
B = {0,2,4,6,8}
A ∩ B = { }
Hence, the two sets - A and B are mutually exclusive of each other.
Read more about Mutually exclusive sets:
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