Question

How do you find the likelihood of a certain type of license plate?

Answer 1

To find the likelihood of an event \(E\) with equally likely outcomes, we need to count the number of outcomes in the event and divide it by the total number of outcomes in the sample space.
\[
P(E)=\frac{n(E)}{n(S)}
\]
For this question, the events involve counting license plates. Since the order of the letters and numbers on a license plate matters, we typically use the Multiplication Principle to calculate the number of outcomes in the event and sample space. However, if repetition of letters or numbers are not allowed, we can also use permutations.