Probability

Probability

1. Theoretical Probability

   • Theoretical is used in everyday life it is said in numbers but can also be in words (likely, maybe, certain).
   • Pr(event)= fav/total
     • Pr(blue ball) = 2/6 = 1/3 of a chance of getting the blue ball.
   • Complimentary events are opposite and add to 1.

2. Ven Diagrams and Two Way Tables

   • Raw data is the one you cant use (of eat). Data is the one you can use.
   • Ven Diagrams
     • favourable/total
     • (+) = numbers added, (and) = both as the total
   • Two Way Tables
     • Only 4 out of 8 numbers are in the ven diagrams.
     • Both 'total' sides add up to the 'overall total'

3. Probability Notation

   • Notation is used so you don't get confused!
   • Sample Space - EVERYTHING, includes all the outcomes, inside curly brackets {}. You don't wright how many times the S or the 4 is there, just put it in the sample space the number of times. SS =
   • Every Notation can be used in a way to represent something on a Ven Diagram
   • Union = U, union mean add.
     • AUB = {*everying in A and B}
   • intersection = n, intersection means what x and y have in common
     • AnB = {*everything A and B have in common}
   • Opposite = '
     • A' = {*everything thats not A*}
   • Elements and Subjects
     • c = subset, subset is the whole circle, E = element = the numbers or things inside the subset.
   • {} or O/ = mutually excluded, mutually excluded or the null set is if there is nothing or no elements.

4. Tree Diagrams

   • The amount of outcomes = the amount of options in last column.
   • Events w/ replacement = events with the same probability throughout whole experiment.
   • Events X Replacement = events that DON'T have the same outcome throughout the whole experiment.

5. Experimental Probability

   • Experimental Probability = number of favourable outcomes / total no of trials.
   • The more trails, the closer to the expected.
   • Pr(event) x number of trials.