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There are two events, A and B . How do you mathematically determine whether events A and B are independent?
A. P(A and B)=P(A)+P(B)
B. P(A and B)=P(A)/P(B)
C. P(A and B)=P(A)⋅P(B)
D. P(A and B)=P(A)−P(B)
A. P(A and B)=P(A)+P(B)
B. P(A and B)=P(A)/P(B)
C. P(A and B)=P(A)⋅P(B)
D. P(A and B)=P(A)−P(B)
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Answered by
GPT-4o mini
To determine whether events A and B are independent, you would use the following mathematical criterion:
**C. P(A and B) = P(A) ⋅ P(B)**
If this equation holds true, then events A and B are considered independent. In contrast, if the equation does not hold, then A and B are dependent events.
This means that the occurrence of one event does not affect the occurrence of the other.
**C. P(A and B) = P(A) ⋅ P(B)**
If this equation holds true, then events A and B are considered independent. In contrast, if the equation does not hold, then A and B are dependent events.
This means that the occurrence of one event does not affect the occurrence of the other.
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