A college offers its students multiple study-abroad opportunities for the semester. Given Events A and B, are the two events mutually exclusive? Explain your answer.
Event A: The same student chooses to study abroad in Asia.
Event B: The same student chooses to study abroad in Europe.
Great work! That's correct.
Yes, the events are mutually exclusive because P(A) is not equal to P(B).
Yes, the events are mutually exclusive because they have no outcomes in common.
No, the events are not mutually exclusive because they both require a student to study abroad.
No, the events are not mutually exclusive because they share the common outcome of studying abroad.
Answer Explanation
Correct answer:
Yes, the events are mutually exclusive because they have no outcomes in common.
A and B are mutually exclusive events if they cannot occur at the same time. This means that A and B do not share any outcomes and P(A AND B)=0.
In this case, A and B have do not have an outcome in common, so they are mutually exclusive.
Sunday, 20 February 2022
A college offers its students multiple study-abroad opportunities for the semester. Given Events A and B, are the two events mutually exclusive? Explain your answer. Event A: The same student chooses to study abroad in Asia. Event B: The same student chooses to study abroad in Europe.
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