Probability formulas:
Chapter 14: From randomness to probability
1) Probability is a number between 0 (certainly will not occur) and 1 (certainty will occur)
2) Complement Rule: P(A) = 1 - A'
ex. P(A) = .8, then P(A') = .2
3) Addition Rule states you can add the probabilities of events that have no outcome in common. Events that cannot occur together are known as disjoint (mutually exclusive).
Formula: P (A U B ) = P(A) + P (B)
4) For two independent events A and B, the probability that both A and B occur is the product of the probabilities of the two events.
Formula: P(A (INTERSECT) B) = P (A) X P (B), the events are independent
5) And means multiplication
6) Or means addition
Chapter 15: Probability Rules
P(A U B) = P(A) + P (B) - P A (intersect B)
Independent events are mutually exclusive when P(A (intersect) B) = P(A) X P(B)
Conditional probability:
P(B|A) = P(A (intersect) B) / P(A)
Chapter 16: Random variables - Expected values
tbc
Chapter 17: Probability models
Chapter 14: From randomness to probability
1) Probability is a number between 0 (certainly will not occur) and 1 (certainty will occur)
2) Complement Rule: P(A) = 1 - A'
ex. P(A) = .8, then P(A') = .2
3) Addition Rule states you can add the probabilities of events that have no outcome in common. Events that cannot occur together are known as disjoint (mutually exclusive).
Formula: P (A U B ) = P(A) + P (B)
4) For two independent events A and B, the probability that both A and B occur is the product of the probabilities of the two events.
Formula: P(A (INTERSECT) B) = P (A) X P (B), the events are independent
5) And means multiplication
6) Or means addition
Chapter 15: Probability Rules
P(A U B) = P(A) + P (B) - P A (intersect B)
Independent events are mutually exclusive when P(A (intersect) B) = P(A) X P(B)
Conditional probability:
P(B|A) = P(A (intersect) B) / P(A)
Chapter 16: Random variables - Expected values
tbc
Chapter 17: Probability models
