Skip Navigation Links
 Amsco Integrated Algebra I: The Counting Principle, Sample Spaces, and Probability
This is a free lesson from our course in Amsco's Integrated Algebra
This lesson explains the the basics of counting principle and the approach to finding the probability of any two or more independent events. The counting principle: If one activity can occur in any of m ways and, following this, a second activity can occur in any of n ways, then both activities can occur in the order given in m * n ways. For example: Let's say that you want to flip a coin and roll a die. There are 2 ways that you can flip a coin and 5 ways that you can roll a die. There are then 2 x 5 = 10 ways that you can flip a coin and roll a die. Sample space is listing of all the possible outcomes is and is generally denoted by the capital letter S.  (More text below video...)
<h2> The Counting Principle, Sample Spaces, and Probability</h2> <p> The Counting Principle, Sample Spaces, and Probability, Fractional Coefficients, Evaluating Simple Probabilities, Empirical Probability, amsco,integrated,algebra1</p> <p> explains what is The Counting Principle, Sample Spaces, and Probability</p>
People who saw this lesson also found the following lessons useful:
Empirical Probability
Evaluating Simple Probabilities
The Probability of (A or B)

(Continued from above) The sample space for the experiments of flipping a coin and rolling a die are S = { H1, H2, H3, H4, H5, T1, T2, T3, T4, T5}. Thus there are ten possible ways. The counting principle for probability states that E and F are independent events, the probability of event E is m(0 <= m <= 1) and the probability of event F is n(0 <= n <=1). The probability of the event in which E and F can occur jointy is the product m * n. For example: the probability to take any of three buses to get to the train station and then take any of the train with two possible options (the buses and trains arrive at random and are equally likely to arrive) to get to work is 1/6. The video above will explain in detail with the help of several examples.


As many of you know, Winpossible's online courses use a unique teaching method where an instructor explains the concepts in any given area to you in his/her own voice and handwriting, just like you see your teacher explain things to you on a blackboard in your classroom. This particular lesson includes the teacher's instruction, practice questions as well as end-of-lesson quizzes for practice. As we mentioned above, you can enroll in our online course in Trigonometry by clicking here.

The format of Winpossible's online courses is also very suitable for teachers who are using an interactive whiteboard such as Smartboard on Promethean in their classrooms, because the course lessons can be easily displayed on such interactive whiteboards. Volume pricing is available for schools interested in our online courses. For more information, please contact us at

 Copyright © Winpossible, 2010 - 2011
Best viewed in 1024x768 & IE 5.0 or later version