Question

fill in each blank so that the resulting statements are true.
if it is impossible for events a and b to occur simultaneously, the events are said to be ____. for such events, ( p(a \text{ or } b) = )____.
if it is impossible for events a and b to occur simultaneously, the events are said to be
for such events, ( p(a \text{ or } b) = )

Explanation:

When two events cannot happen at the same time, they are called mutually - exclusive events. The formula for the probability of either of two mutually - exclusive events \(A\) or \(B\) occurring is the sum of their individual probabilities. This is based on the basic probability principle for non - overlapping (mutually exclusive) events.

Answer:

If it is impossible for events \(A\) and \(B\) to occur simultaneously, the events are said to be mutually exclusive. For such events, \(P(A\ or\ B)=P(A)+P(B)\).