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Mutually Exclusive A Occurs B Does Not

A. Independent events
B. Complementary events
C. Dependent events
D. Joint probability

User Wrobel
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Final answer:

Two events A and B are independent if the knowledge that one occurred does not affect the chance the other occurs. A and B are mutually exclusive events if they cannot occur at the same time.

Step-by-step explanation:

Two events A and B are independent if the knowledge that one occurred does not affect the chance the other occurs. If two events are not independent, then we say that they are dependent.

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.

For example, suppose the sample space S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Let A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, and C= {7, 9}. A AND B = {4, 5}. P(A AND B) = and is not equal to zero. Therefore, A and B are not mutually exclusive.

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