Probability

dice

 

“The probable is what usually happens.”    Aristotle


The probability of an event is a measure of the likelihood that the event will occur.
Probability
The probability of any event can range from 0 to 1.

Probability of an event

Probability2

Predict & Display Data

Probability – Sample Space

Probability Help,   

Probability 2 Help

1Die

1Hat

1Marble

1Marble_b

1Spinner

1Tile

Finding the Probability of Independent Events

(Sample space UNCHANGED)

If A and B are independent events, then

P(A and B) = P(A)•P(B)

PAyB

Dependent Events Help,  

Tree Diagram Help

ProbabilityVoc

ProbabilityVoc2 

 

 

 

Finding the Probability of Dependent Events  

 (Sample space DECREASES)

If A and B are dependent events, then

P(A and B) = P(A) • P(B given A)

PBGA

2Marbles

2Roses,

 2Tiles,

 2Dice,

Probability – Counting Principle Probability – Independent Event Probability Application

Theoretical probability

Theoretical Probability is determined through reasoning (the ratio of the number of favorable outcomes to the number of possible outcomes).

Theoretical

 

 

 

Experimental probability

Experimental probability is found by repeating an experiment and observing the outcomes.

Experimental

 

 

 

A monkey is sitting by and hitting 4 keys randomly. Suppose that the monkey is answering a multiple choice MATH STAAR TEST. There are 56 questions and each question has 4 options. Find the experimental probability

3 Coins

Coin and Die

Probability W

Probability rules