Probability

1. Random Experiment

• Consider an Action or a Process that will have the following characteristics.
  • Two or more outcomes
  • Uncertainty as to which outcome will occur
    eg., toss a coin > head/tail | roll a die > 1,2,3,4,5,6

2. Sample Space

• A collection of all possible outomes(universal set)

3. Event

• Any subset of Sample Space

4. Tree diagram

5. Venn diagram

6. Intersection of set

• A ∩ B

7. Null set

• ∮

8. Union of set

• A ∪ B

9. Complement of set

• A'

10. Mutually exclusive

• A ∩ B = ∮

11. Collectively exhaustive

• A ∪ B = S

12. Marginal probability

• P(A)

13. Joint probability

• P(A∩B)

14. Conditional probability

• Joint / Marginal
• P(A∩B) / P(A)