1. Sample Space = the set of all possible simple events. Sample Space of tossing a coin. S{HH, HT, TH, TT}
2. P(A) = Probability of event A occurring
2.1. P = Probability of
3. Compound Event: Two or more events
4. Addition Rule: P(A or B) = P(A) + P(B) - P(A and B). For example; find the probability of rolling a 6 or pulling an ace out of a standard deck of cards.
4.1. Keyword is OR
5. Mutually Exclusive: Cannot occur at the same time. For example, you can't flip a coin and land on heads and tails in the same event
5.1. Not Mutually Exclusive means something can occur at the same time.
6. Multiplication Rule: P(A and B) = P(A) x P(B/A) For example; find the probability of rolling a 3 and rolling a 5 when using dice.
6.1. Keyword is AND
7. When you are looking at the multiplication rule, you first need to see if the question is independent or dependent. Two events are independent if the first is not affected by the second.
8. Conditional Probability: P(A and B) = P(A) - P(B/A)
8.1. Keyword is GIVEN and IF
8.2. P(B/A)=P(A and B) / P(A)
9. Permutations: When the order does matter like 456 is not the same event as 654
10. Definition of an Event is any outcome in an experiment
10.1. Simple Event: An event that can't be broken down into smaller events.
11. Relative Frequency of Probability: P(E) = # of times E occurs / total #of trials. For example, the P(of getting heads) = # of times Heads occurs / total number of trials
12. Complement: The complement of A is all the outcomes in S that are not included in A.
12.1. Rule: P(A) + P(Ā) = 1
12.2. P(Ā) = 1-P(A)
13. Probability of at least one: P(@ least 1) = 1 - P(0) since the complement of 1 is 0.
14. Combinations: When the order doesn't matter. 678 is the same as 876
