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Consider the following events, assuming that neither event has a probability of $0$.

Event $A$ = Corinne has an A in statistics at the end of the semester.
Event $B$ = Corinne has a B in statistics at the end of the same semester.

Based on this information, which of the following is a true statement?

A

Events $A$ and $B$ are both disjoint (mutually exclusive), and they are independent.

B

Events $A$ and $B$ are both disjoint (mutually exclusive), but they are not independent.

C

Events $A$ and $B$ are not disjoint (mutually exclusive), but they are independent.

D

Events $A$ and $B$ are neither disjoint (mutually exclusive) nor independent.

E

Events $A$ and $B$ are complementary.

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