P(A)=0.45 P(B)=0.6 P(A and B) = 0.2 P(A or B) =

To find the probability of the union of events A or B (denoted as \( P(A \cup B) \)), you can use the formula: \[ P(A \cup B) = P(A) + P(B) - P(A \cap B) \] Given: - \( P(A) = 0.45 \) - \( P(B) = 0.6 \) - \( P(A \cap B) = 0.2 \) Substitute these values into the formula: \[ P(A \cup B) = 0.45 + 0.6 - 0.2 \] \[ P(A \cup B) = 1.05 - 0.2 \] \[ P(A \cup B) = 0.85 \] Therefore, the probability of either event A or event B occurring is 0.85.