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Probability review: Theoretical vs Experimental Introduction:
Overview: Background: Concept: How many trials before the experimental probability is close to the actual probability?

Probability fair (link to http://mrnussbaum.com) Simulating dice  30 dice simulation Review of Theoretical vs Experiential probabilities 6 sided dice simulation and a 6 to 30 sided dice The number of repeats required to get a probability estimate when drawing coloured balls from a box How many of each colour? (up to 3000 trials)

Probability describes how likely an event is to occurProbabilities can be calculated (theory) or recorded (practical) or simulated (using random number generator) 
As more trials are done the probability becomes more accurate

Expected value E(x) = probability x Number of trials 
Flipping a coin:10 trials 100 trials 500 trials Mouseover key words 

Relative frequency equals the probabilityNote: as the number of trials increases the relative frequency levels off at 0.5 (as expected) 
A normal 6 sided die is rolled. 
P(5)= 

P(even)=  
P(multiple of 3)=  
P(less than 5)=  
P(at least 2)=  
P(not a 2)=  
Mouseover key words 