Question

fill in each blank so that the resulting statement is true.
if the occurrence of one event has an effect on the probability of another event, the events are said to be ____ for such events, ( p(a \text{ and } b) = ) ____

if the occurrence of one event has an effect on the probability of another event, the events are said to be
for such events ( p(a \text{ and } b) = )

Explanation:

When one event affects the probability of another, they are dependent. The formula \(P(A\ and\ B)=P(A)\times P(B|A)\) (where \(P(B|A)\) is the probability of \(B\) given \(A\) has occurred) is used for dependent events.

Answer:

dependent; \(P(A)\times P(B|A)\)