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 plus 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) 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)

Answer 1

The correct formula to interpret the answer to an "or" probability scenario involving events \( P(A) \) and \( P(B) \) is:

\[ P(A \cup B) = P(A) + P(B) - P(A \cap B) \]

This formula accounts for the probability of either event A or event B occurring (denoted as \( P(A \cup B) \)), while subtracting the probability of both events A and B occurring (denoted as \( P(A \cap B) \)) to avoid double counting.

So the correct response is:

P(A) + P(B) − P(A and B)

This corresponds to the first option in your list.