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)

Question

Responses

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)
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)

Answer 1

The correct formula for interpreting the probability of the union of two events \( A \) and \( B \) is:

\[ P(A) + P(B) - P(A \text{ and } B) \]

This formula accounts for the probabilities of each event occurring and subtracts the probability of their intersection to avoid double counting the cases where both events occur.

So the correct response is:

P(A) + P(B) − P(A and B)