Purchase Solution

Using the Counting Principle in Probability Theory

Not what you're looking for?

Ask Custom Question

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.