Probability Flashcards
Permutation Formula
nPr=n!/(n-r)!
n=number of items to choose from
P=permutation
r=how many times you will be choosing.
Permutation
An arrangement of items or events in which order is important.
Probability
The likelihood of an event occuring.
Combination
Arrangement of objects where order does not matter.
Conditional Probability
The probability of an event occurring based on a previous event already taking place.
Dependent Events
Events in which the previous attempts affect the outcome of subsequent events.
INdependent Event
When the probability of an event is not affected by a previous event.
Independent Probability
When the probability of an event is not affected by a previous event.
Conditional Probability with Dependent Events
P(B|A)=P(A and B)/P(A)
The probability of B given A
Binomial Probability
A probability that either has success or failure.
Compound probability
There is more then one possible outcome. Two types of compound probability. Exclusive probability and inclusive probability.
Exclusive compound event
Events do not overlap.
P(C)=P(A)+P(B)
Inclusive compound event
Overlap between multiple elements.
P(C)=P(A)+P(B)-P(A and B)
Exponential distribution
F(x)=tau(e^-tau(x)) where the mean=1/tau
Probability of exponential distribution where x>s
P(x>s)=e^(-tau(x))
