Probability → Vocabulary → Formula → Example Questions → Addition of Probabilities → Multiplication of Probabilities

Consider this example, a dice is rolled once, what is the probability that the number shown is Even **and** is four?

So, this is the multiplication of probabilities.

**Solution to the above problem**

A dice is rolled, so all possible events are six {1,2,3,4,5,6}, even numbers are three {1,3,5}, and four is only one event {4}. Thus,

, and

Hence,

**SO REMEMBER:**

for disjoint events

for joint events

for joint events

for disjoint events (for example, the probability that the number is even and 3 is 0, because it cannot happen).