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What formula is used to interpret the answer to an or probability scenario that involves P(A) as one event and P(B) as the othe...Question
What formula is used to interpret the answer to an or probability scenario that involves P(A) as one event and P(B) as the other event?(1 point) Responses P(A)+P(B)−P(A and B) upper P left parenthesis upper A right parenthesis plus upper P left parenthesis upper B right parenthesis minus upper P left parenthesis upper A and upper B right parenthesis P(A)−P(B)−P(A and B) upper P left parenthesis upper A right parenthesis minus upper P left parenthesis upper B right parenthesis minus upper P left parenthesis upper A and upper B right parenthesis P(A)−P(B)+P(A and B) upper P left parenthesis upper A right parenthesis minus upper P left parenthesis upper B right parenthesis plus upper P left parenthesis upper A and upper B right parenthesis P(A)+P(B)+P(A and B)
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GPT-4o mini
The correct formula to interpret the answer to an "or" probability scenario, which involves two events A and B, is:
\[
P(A \cup B) = P(A) + P(B) - P(A \cap B)
\]
This means that to find the probability of either event A or event B occurring, you add the probability of A and the probability of B, and then subtract the probability of both A and B occurring (since they are counted twice).
So the correct response is:
**P(A) + P(B) - P(A and B)**.
\[
P(A \cup B) = P(A) + P(B) - P(A \cap B)
\]
This means that to find the probability of either event A or event B occurring, you add the probability of A and the probability of B, and then subtract the probability of both A and B occurring (since they are counted twice).
So the correct response is:
**P(A) + P(B) - P(A and B)**.
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