# Using the Counting Principle in Probability Theory

Not what you're looking for?

A mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be a C, A or R. Each number must be a 3 or 7. Repetition of digits is permitted.

a) Use the counting principle to determine the number of points in the sample space.

b) Describe how a tree diagram would represent this situation.

c) List the sample space.

d) Determine the exact probability of creating a mini license plate with a 7. Give solution exactly in reduced fraction form.

##### Purchase this Solution

##### Solution Summary

This solution shows how to apply the counting principle in probability theory to determine the number of points in a sample space.

##### Solution Preview

a) Possibilities for the first character: 3

Second character: 2

Third character: 2

The total number of points in the sample space is 3*2*2 = 12 ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Probability Quiz

Some questions on probability

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.