Odds and Probabilities Flashcards
What are odds and probabilities a quantification of?
Likelihood of an event
Define probability
Relative frequency of occurrences of a given event over a sequence of unlimited random trials done under similar conditions
Value of Probability
0 (event will not occur) -1 (event must occur)
What is the probability of an event not occurring?
1-p
What is 1-p known as?
Probability of a complementary event
Define odds
Ratio of the frequency that an event occurs to the frequency the event does not occur
Calculation for odds
Probability / 1 - probability
Calculation for probability
Odds / 1 + odds
If X and Y are related but mutually exclusive, what is the formula of X or Y happening?
p(X) + p(Y)
What is the addition rule for mutually exclusive events?
The formula p(X) + p(Y)
If two events X and Y are unrelated, what is the formula for the probability of both X and Y happening
p(X) * p(Y)
What is the multiplication rule for independent events?
The formula for two unrelated events occurring
Formula for probability of A
n (A)/N
What is the formula for the odds of A
n(A)/n(B)