Question
There are two events, A and B . How do you mathematically determine whether events A and B are independent?(1 point) Responses P(A and B)=P(A)⋅P(B) upper P left parenthesis upper A and upper B right parenthesis equals upper P left parenthesis upper A right parenthesis times upper P left parenthesis upper B right parenthesis P(A and B)=P(A)+P(B) upper P left parenthesis upper A and upper B right parenthesis equals upper P left parenthesis upper A right parenthesis plus upper P left parenthesis upper B right parenthesis P(A and B)=P(A)−P(B) upper P left parenthesis upper A and upper B right parenthesis equals upper P left parenthesis upper A right parenthesis minus upper P left parenthesis upper B right parenthesis P(A and B)=P(A)P(B)
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GPT-4o mini
To mathematically determine whether events A and B are independent, you would use the definition of independent events:
**Events A and B are independent if:**
\[ P(A \text{ and } B) = P(A) \cdot P(B) \]
So, among the given responses, the correct answer is:
**P(A and B) = P(A) ⋅ P(B)**
**Events A and B are independent if:**
\[ P(A \text{ and } B) = P(A) \cdot P(B) \]
So, among the given responses, the correct answer is:
**P(A and B) = P(A) ⋅ P(B)**
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