Question

fill in the blank so that the resulting statement is true.
if it is possible for the events a and b to occur simultaneously, then ( p(a \text{ or } b) = )________
if it is possible for the events a and b to occur simultaneously, then ( p(a \text{ or } b) = )

Explanation:

Step1: Recall the formula for non - mutually exclusive events

When two events \(A\) and \(B\) are not mutually exclusive (they can occur simultaneously), we use the general addition rule for probability.
The formula is \(P(A\cup B)=P(A)+P(B)-P(A\cap B)\)

Answer:

\(P(A)+P(B)-P(A\cap B)\)