Home
Subjects
Explanations
Create
Study sets, textbooks, questions
Log in
Sign up
Upgrade to remove ads
Only $2.99/month
Math
Probability
Probability Theory
Probability Vocabulary
STUDY
Flashcards
Learn
Write
Spell
Test
PLAY
Match
Gravity
Secondary II Math Common Core
Terms in this set (59)
Sample Space
A collection of all possible outcomes of a random experiment.
Random Variable
A function defined on a sample space.
Finite
Having limits or bounds
Infinite
limitless or unbounded
Discrete
Individually separate and distinct
Continuous
Forming an unbroken whole; without interruption
Subset
a set that is part of a larger set
Outcome
something that results
Union
When ALL outcomes of two events are considered. (NOTICE: problems use the word "OR"). Symbol is U.
Intersection
When only the coutcomes shared by two events are considered.
(NOTICE: problems use the word "AND"). Symbol is ∩.
Complement
Set A and Set (A bar) such that "A bar" consists of all outcomes that are NOT in "A". Symbols:
Joint Probability
the probability of two events occurring together
Event
something that happens at a given place and time
Probability of Independent Events
The outcome of one event does not affect the outcome of the second event with this formula: P(A and B) = P(A) * P(B).
Venn Diagram
A diagram that uses circles to display elements of different sets. Overlapping circles show common elements.
Two-way Frequency Table
A table that shows the frequencies of data from a survey or experiment according to two categories. The rows show one category and the columns show another.
Probability
a measure of how likely it is that some event will occur
Theoretical Probability
the ratio of the number of favorable outcomes to the number of possible outcomes if all outcomes have the same chance of happening.
Conditional Probability
the probability that an event will occur given that one or more other events have occurred
Marginal Probability
The values in the margins of a joint probability table that provide the probabilities of each event separately.
Tree Diagrams
Diagrams that will show P(A) as independent branches, then P(B|A) as branches coming off those branches, etc. until a final event is reached. The probability of any one event occurring can be calculated by multiplying the probabilities of each branch along the way.
Uniform Probability Model
each outocme is equally as likely to occur so P (A)= number of outcomes in A / number of outcomes in Sample ( A / S ).
Intersection Formula
P(A and B)=P(A∩B)=P(A)P(B|A)=P(B)P(A|B)
Multiplication Rule
Union Formula
P(A or B) =P(AUB)=P(A) + P(B) - P(A and B)
Addition Rules
P(A|B)
Means the probability of event B occurring when A has already occurred.
Compound Events
an event made of two or more events that occur at the same time or one right after the other (counting principle).
Counting Principle
If one event can happen M ways and another event can happen N ways then the two events can happen in MN ways (multiply).
Permutation
an arrangement of objects in which order IS important
Combination
the act of arranging elements into specified groups without regard to order
Random
by chance, not planned or prearranged; irregular
Random number tables
used to select random samples.
Random Number Generator
A program that returns numbers chosen at random from a predesignated interval.
Fair Decision
free from bias
Variability
the frequency and extent to which multiple measures of behavior yield different outcomes
Modeling
the process of observing and imitating a specific behavior
Disjoint (or mutually exclusive)
two events that have no outcomes in common (intersection is empty).
Compound Event
The union or intersection of two events.
Overlapping Events
Two events that have one or more outcomes in common: P(A or B) = P(A) + P(B) - P(A and B)
Probability of Complement of an Event
Complement of "A" is P(A bar) = 1 - P(A)
Set Theory
the branch of pure mathematics that deals with the nature and relations of sets
Set
A collection of distinct objects which is denoted by enclosing its elements in braces.
Element or member
Each object in a set.
Empty Set
A set with NO elements which is denoted by a 0 with a / through it.
Universal Set
The set of ALL elements under consideration which is denoted by U.
Probability of Dependent Events
If A and B are dependent events, then the probability that both A and B occur is: P(A and B) = P(A)* P(B|A).
Dependent Events
Two events A and B, where occurrence of one affects the occurrence of the other.
Independent Events
Two events A and B, where the occurrence of one has no effect on the occurrence of the other.
Conditional Probability
The probability that B will occur given that A has occurred, which is written: P(B|A).
Three or more Dependent Events
Extension of finding probabilities of dependent events: P( A and B and C) = P(A)
P(B|A)
P(C|A and B).
Probability Distribution
A function that gives the probability of each possible value of a random variable and the sum of all those probabilities in the distribution must equal 1.
Factorial
The product of all positive integers less than or equal to a number (5! = 5x4x3x2x1).
n!
A permutation formula when there are n distinct object.
P(n,r) = n! / (n - r)!
A permutation formula when there are n distinct objects taken "r" at a time.
C(n,r) = n! / (n - r)! * r!
A combination formula when "r" objects taken from a group of "n" distinct objects.
Experimental Probability
is based on repeated trials of an experiment or # of Successes / # of Trials.
Odds in Favor
# of Favorable Outcomes / # of Unfavorable Outcomes.
Odds Against
# of Unfavorable Outcomes / # of Favorable Outcomes.
Simulation
An experiment that you can perform to make predictions about real-world situations.
Subjective Probability
is results from intuitive, educated guesses, and/or estimates.
Recommended textbook explanations
Probability and Statistics for Engineers and Scientists
9th Edition
Keying E. Ye, Raymond H. Myers, Ronald E. Walpole
1,204 explanations
Introduction to Probability and Statistics for Engineers and Scientists
5th Edition
Sheldon Ross
575 explanations
Student Solutions Manual for Devore/Berk's Modern Mathematical Statistics with Applications
1st Edition
Jay L. Devore, Kenneth N. Berk
682 explanations
Probability and Statistics for Engineering and the Sciences
7th Edition
Jay L. Devore
1,222 explanations
Sets found in the same folder
Geometry
127 terms
Geometry Proofs
38 terms
Geometry - Unit 6: Applications of Proba…
16 terms
L-1 Die Schule beginnt
31 terms
Sets with similar terms
GSE Geometry - Unit 6: Applications of P…
16 terms
GSE Geometry - Unit 7: Applications of P…
16 terms
Geometry probability, Probability
20 terms
Probability
20 terms
Other sets by this creator
Tell-Tale Heart Vocabulary and Literary Elements V…
35 terms
A Sound of Thunder by Ray Bradbury
40 terms
The Masque of The Red Death by Edgar Allan Poe
30 terms
Post test for Quarter 4 English 10
40 terms
Other Quizlet sets
green algae
25 terms
Anatomy lecture exam 2
52 terms
CH 12 Nervous Tissue
49 terms