Paul will roll two standard dice simultaneously. If Event A = both dice are odd and Event B = at least one die is even, which of the following best describes events A and B?

 Paul will roll two standard dice simultaneously. If Event A = both dice are odd and Event B = at least one die is even, which of the following best describes events A and B?
Select two answers.
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Correct! You nailed it.
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Mutually Exclusive
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Not Mutually Exclusive
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Independent
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Dependent
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Answer Explanation
Correct answer:
Mutually Exclusive
Dependent
Mutually exclusive events are events that cannot occur at the same time. In this case, both dice cannot be odd (event A) if at least one of the dice is even (event B).
Independent events are those for the occurrence of one event has no effect on the probability of the other, and dependent events are any that are not independent.
Mutually exclusive events are almost always also dependent (with the exception of events that are already impossible) since the occurrence of one event means the probability of the other event changes 0.