Nayland College  Mathematics Home . Year 9 . Year 10 . Level 1 . Level 2 . L3 Statistics . L3 Maths . L3 Calculus . About . Links 
Overview
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) Concept: How many trials before the experimental probability is close to the actual probability? How stats fool juries  Peter Donnelly Nice clear videos by Brandon Foltz. Discrete Random Variable 
Class notes pdf


Randomness Concept: long run relative frequency Coin flipping 1500 flips (allow macros) How the relative frequency graph varies but ends up very similar Concept: that randomness is not smooth Are students familiar with randomness? 
Class notes pdf Random plotting points: 
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 trials100 trials500 trialsMouseover key words 

Relative frequency equals the probabilityNote: as the number of trials increases the relative frequency levels off at 0.5 (as expected)Excel coin flipping simulation  Excel coloured ball simulation 