Can two events with nonzero probabilities be both independent and mutually exclusive? Explain your reasoning.

Question
Can two events with nonzero probabilities be both independent and mutually exclusive? Explain your reasoning.

Answers (1)

2021-02-26
Two events are mutually exclusive if they cannot occur at the same time. Two events are independent if the occurrence of one of the events does not influence the occurrence of the other event. Thus two events cannot be both at the same time, because if one of the events occur, then we now that the other event does not occur and thus the second event is influenced by the first event occurring.
Result: No
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The correct way to compare is "conditional probability". Conditional probability is getting the probability of something happening, given we are dealing with just the people in a particular group.
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