Multiplication Rule of Probabilities
We use the multiplication rule
of probabilities to calculate the joint probability of two events. In other words, we are calculating the probability of these events occurring at the same time. Chapter 6 referred to this as the intersection of two events. For two independent events, the multiplication rule states the following:
Recall from Chapter 6 that P[A and B] is also known as the joint probability of Events A and B.
For example, we can use the multiplication rule to calculate the joint probability of rolling “snake eyes” with a pair of dice. We define the events as follows: