Fundamental Counting Principle (FCP) & Tree Diagrams

Experimental probability is the likelihood that an event will occur based on the outcomes on previous results.

Sample space is the total number of outcomes of an event

There is a general method that you following when discovering the fundamental counting principle (FCP).

ex. 4 hoagies: 3 types of meat, four types of cheeses

How many different combinations can you make ?

MEAT: turkey, ham, liverwurst                 CHEESE: provolone, cheddar, American, swiss

First method: match each meat with each type of cheese using a tree diagram

Second method: multiply the total # of meats by the total # of cheeses

FCP = 3 (# of meats)  x 4 (# of cheeses) = 12 combinations

For more information –>http://www.basic-mathematics.com/fundamental-counting-principle.html

Ending the Year Strong!

On behalf of the team, I would like to personally say congratulations to you all for performing at your very best and I look forward to seeing you all progress to the tenth grade next year.  Remember to continue to use the resources on this blog throughout the rest of the year and do not hesitate to use the CONTACT column for further instruction.

Until next time…

Thanks to You

On behalf of the team, I would like to personally thank all of the teachers whom we all have worked with for the past six months. You all are awesome individuals with a lot of knowledge and passion for your work. Each of you truly care about your students and genuinely invest in their futures, especially in preparation to college.

Thank a Teacher

(breese) Probability-Theoretical and Experimental Benchmark Reviews

Students,

Benchmarks are quickly approaching. All of the lessons and materials that you will receive in class this week will be related to the problems that will be presented on the Benchmarks.

Let’s review…

PROBABILITY

Probability is the chance that an event or circumstance will take place. There are two types of probability: theoretical and experimental probability.

Theoretical: the likelihood that an event will occur based on number of possible outcomes

Experimental: the likelihood that an event will occur based on the outcomes on previous results

Points to remember

• Formula for Experimental Probability: total # of favorable outcomes/total of trials
• Formula for Theoretical Probability: total # of favorable outcomes/total of possible outcomes

Check out these links below

Probability- Dice and Cards

Math Probability- Yourteacher.com

Experimental Probability- Yourteacher.com

Theoretical Probability of Simple Events

PROBABILITY

Three very important vocabulary terms that you should remember.

Trial- the number of events that occur

Favorable outcome- a desired result based on prediction

Experimental outcome- the result received after a trial

Two formulas to remember: Theoretical probability and Experimental probability

Theoretical probability: the predicted probability of an event

Experimental probability: the run of trials

Theoretical probability- P(event) = # of favorable outcomes/# possible outcomes

Experimental probability- P(event) = # of favorable outcomes/# trials

Examples

What is the probability of flipping a coin? 

Theoretical: 1/2 (there are two sides and each side is represented by the number one)

Experimental: ?/2 (there are different outcomes and two sides of a coin)