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

(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

MATH DICE

Math Dice

http://thinkfun.com/mathdice

HOW-TO  PLAY

1. Roll the 12-sided Target Dice. Then, multiply the two numbers. That will be your Target Number.

2. Roll the 6-sided scoring dice.

3. Winner is the first person to combine three scoring dice in any way to match, or come closest to the Target Number.