Home Site Map Contact Us
Rapid Learning Member Login  
Rapid Learning Blog Rapid Learning on Facebook Rapid Learning on Youtube Rapid Learning on Twitter
 How to Learn in 24 Hours?

 Need Help?
M-F: 9am-5pm(PST):
Toll-Free: (877) RAPID-10
US Direct: (714) 692-2900
Int'l: 001-714-692-2900


24/7 Online Technical Support:
The Rapid Support Center

Secure Online Order:
Buy Now

 

 Got Questions?
Frequently Asked Questions
 Need Proof?
Testimonials by Our Users

Trustlink is a Better Business Bureau Program.
Rapid Learning Center is a fivr-star business.

External TrustLink Reviews




 Member Login:
User ID: 
Password: 
 

 Rapid Learning Courses:

Chemistry in 24 Hours

Biology in 24 Hours

Physics in 24 Hours

Mathematics in 24 Hours

Psychology in 24 Hours

SAT in 24 Hours

ACT in 24 Hours

AP in 24 Hours

CLEP in 24 Hours

MCAT in 24 Hours (Medical)

USMLE in 24 Hours (Boards)

DAT in 24 Hours (Dental)

OAT in 24 Hours (Optometry)

PCAT in 24 Hours (Pharmacy)

Nursing Entrance Exams

Certification in 24 Hours

eBook - Survival Kits

Audiobooks (MP3)


 Tell-A-Friend:
Have friends taking science and math courses too? Tell them about our rapid learning system.


Counting and Probability

Topic Review on "Title":

Fundamental Counting Principle:
Suppose two operations are to be performed in order:

With  possible outcomes for the first, and for each of these there are possible outcomes for the second. Hence, the total number of possible outcomes is given by the product .

Permutations:
A permutation is an ordered arrangement of a set of objects in a row.

Combinations:
For any natural number , we define .
Suppose r objects are selected from a set of n objects without regard to order, each such selection is called a combination, denoted by or .

 Theorem of Combination:
The number of combinations taken r at a time of a set of n objects is given by
.

Probability:
The probability of any event H is the sum of the probabilities of those outcomes of the sample space which belongs to denoted by

Probability of Successes for H:

Theorem I of Overlapping Events:
or and  

Theorem II of Disjoint Events:
If  and  are mutually exclusive events, then or .

Theorem of Dependent Events:
If the probability of an event A depends on the occurrence of an event B, then
and  where the probability that if  has occurs,
then  occurs.

Theorem of Independent Events:

If A and B are independent events then and .


Rapid Study Kit for "Title":
Flash Movie Flash Game Flash Card
Core Concept Tutorial Problem Solving Drill Review Cheat Sheet

"Title" Tutorial Summary :

This tutorial shows probability and counting and their important concepts. Tree diagrams and illustrations are used to show permutations in the tutorial examples. An example presents the Fundamental Counting Principle. Factorials and tree diagrams are use to show combinations in the tutorial examples.

The theorem of combination is presented in one of the examples to introduce the different probability distributions. The probability distributions are described in these examples. The graphical representation and tree diagrams are used to define probability and its use. The probability theorems are introduced with problems where they can be utilized. The probabilities of disjoint and overlapping events are presented in some of the tutorial examples.


Tutorial Features:

Specific Tutorial Features:
• Several example problems with step by step illustrations of solutions.
• Tree diagrams are used to show counting and basic probabilities.
• Independent and dependent events are represented graphically.

Series Features:
• Concept map showing inter-connections of new concepts in this tutorial and those previously introduced.
• Definition slides introduce terms as they are needed.
• Visual representation of concepts
• Animated examples—worked out step by step
• A concise summary is given at the conclusion of the tutorial.


"Title" Topic List:
Counting Principle and Permutations
Fundamental Counting Principle
Permutations and their definitions
Combinations
Factorial Notation
Combinations and their definitions
Binomial Distributions and the Binomial Theorem
The definition of probability and its use in applications problems
Probability Theorems
The probability of disjoint and overlapping Events
Overlapping Events Theorem
Disjoint Events Theorem
Probability of Independent and Dependent Events


See all 24 lessons in Intermediate Algebra, including concept tutorials, problem drills and cheat sheets:
Teach Yourself Intermediate Algebra Visually in 24 Hours

© 2015 Rapid Learning Inc. All rights reserved         Disclaimer | Privacy Policy | Affiliates