You have a fair die, with six faces containing the numbers 1,2,3,4,5,6. Given Events A and B, are the two events mutually exclusive? Explain your answer.

 You have a fair die, with six faces containing the numbers 1,2,3,4,5,6. Given Events A and B, are the two events mutually exclusive? Explain your answer.

Event A: Rolling a 1 or a 2
Event B: Rolling an odd number.

Not quite - review the answer explanation to help get the next one.


Yes, the events are mutually exclusive because they have no outcomes in common.

Yes, the events are mutually exclusive because P(A) is not equal to P(B).

No, the events are not mutually exclusive because they both require rolling the same die.

No, the events are not mutually exclusive because they share the common outcome of 1.

 Correct answer:
No, the events are not mutually exclusive because they share the common outcome of 1.

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 an outcome in common, 1, so they are not mutually exclusive.

Thanks