Class 2: Probabilities Flashcards
n/N
Number of ways this event can occur divided by total number of events
Probability of an event
1 - P(E)
Events are equally likely and not mutually exclusive
Probability of not that event
P(A)P(B)
Probability of occurrence of two independent events, A and B, is equal to P of each event
P(A and B)
P(A) + P(B) - P(A and B)
The probability of each minus the probability of both
P(A or B)
EA can occur n1 ways, EB can occur in n2 ways, EAB can occur in (n1)(n2) ways
Number of ways
(n)(n-1)(n-2)…
Number of ways n objects can be ARRANGED
N! (N factorial)
If n = r, then
0! = 1
n! / (n-r)!
Selection of r objects from a group of n objects, when the order of selection matters
P(n, r)
Permutations
n! / r!(n-r)!
Selection of r objects from a group of n objects when the order does not matter
C(n, r)
Combinations