Reading...
Play button
Play button
Use LEFT and RIGHT arrow keys to navigate between flashcards;
Use UP and DOWN arrow keys to flip the card;
H to show hint;
A reads text to speech;
23 Cards in this Set
- Front
- Back
|
n!
n = 4 |
4x3x2x1
|
|
|
If one event can occur in m ways and another can occur in n ways, then the number of ways that both events can occur is
|
mxn
or fundamental counting principal |
|
|
an ordering of n objects (ordering does matter)
|
permutation
|
|
|
Formula for permutations (without repetitions) or
nPr |
n!/(n-r)!
|
|
|
Formula for permutations (with repetition)
|
n!/q1!q2!....qn!
|
|
|
a selection of r objects from a group of n objects (ordering doesn't matter)
|
combination
|
|
|
binomial theorem
(a+b)^n = |
nC0 a^n b0 + nC1 a^(n-1) b^1 ... nCr a^(n-r) b^r
|
|
|
Pascal's triangle
|
1
1 1 1 2 1 1 3 3 1 1 4 6 4 1 |
|
|
number between 0 and 1 that indicates the likelihood the event will occur
|
probability
|
|
|
is a type of probability based on all outcomes of an event A being equally likely
|
theoretical probability
|
|
|
formula of theoretical probability
|
the number of favorable outcomes/the total number of outcomes
|
|
|
the union or intersection of two events
|
compound event
|
|
|
if no outcomes are in the intersection of the two events
|
mutually exclusive
|
|
|
all of the outcomes that are not a
|
A' or complement
|
|
|
Probability of Compound Events:
If A and B are two events, then the probability of A or B is |
P(A or B) = P(A) + P(B) - P(A and B)
|
|
|
If A and B are mutually exclusive event then probability of A or B is
|
P (A or B) = P(A) + P(B)
|
|
|
Probability of the Complement of an Event:
|
P(A') = 1 - P(A)
|
|
|
the occurence of one event has no effect on the occurence of the other
|
independent events
|
|
|
Probability of Independent events:
|
P(A and B) = P(A) x P(B)
|
|
|
the occurence of one event affects the occurence of the other event
|
dependent events
|
|
|
probability that B will occur given that A has occured is called
|
conditional probability
|
|
|
how is conditional probability written?
|
P(B/A)
|
|
|
Probability of Dependent Events:
|
P(A and B) = P(A) x P(B/A)
|
