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 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 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 either event A or event B occurring (the probability of the union of A and B) is:

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

This accounts for the fact that if both events A and B can occur together, the probability of their intersection \(P(A \text{ and } B)\) needs to be subtracted to avoid double counting.

So the answer is:

P(A) + P(B) − P(A and B)