Multiplication Rule
Independent Events
Two events \(A\) and \(B\) are independent events if the fact that A occurs does not affect the probability of \(B\) occurring.
Example: Rolling a 6-sided dice and getting a 6 and then flipping a coin and getting a head are two independent events.
When two events are independent we can calculate the probability of the event \(A\) and \(B\) is calculated by the formula:
\[P(A\text{ and } B)=P(A)\cdot P(B)\]
I usually call this "and then" probability