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 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)
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
1 answer
In probability, when dealing with two events \( A \) and \( B \), the formula used to calculate the probability of either event occurring (the union of events A and B, denoted as \( P(A \cup B) \)) is:
\[ P(A) + P(B) - P(A \text{ and } B) \]
This formula accounts for the overlap (the probability of both events happening together) so that it isn't counted twice.
Therefore, the correct response from your options is:
P(A) + P(B) - P(A and B)
In notation: \[ P(A) + P(B) - P(A \text{ and } B) \]
