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 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 and b) =

Explanation:

• Dependent Events: By definition, if one event affects the probability of another, they are dependent.
• \(P(A)\times P(B|A)\): The formula for the probability of two dependent events \(A\) and \(B\) is the probability of \(A\) occurring times the probability of \(B\) occurring given that \(A\) has already occurred.

Answer:

• First blank: dependent
• Second blank: \(P(A)\times P(B|A)\)