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SELECTION
SELECTION

Lecture 4.1 and 4.2
Lecture 4.1 and 4.2

... that one of them has occurred does not change the probability of the other happening. For example a heads on my first toss of a coin does not change the probability of heads of the second toss. These two events are independent. ...
Algebra 2: Binomial Theorem, Probability and Statistics
Algebra 2: Binomial Theorem, Probability and Statistics

... Students know the binomial theorem and use it to expand binomial expressions that are raised to ...
PPT
PPT

... problem asks how many times one must throw a pair of dice before one expects a double six while the problem of points asks how to divide the stakes if a game of dice is incomplete. They solved the problem of points for a two player game but did not develop powerful enough mathematical methods to sol ...
TPS4e_Ch5_5.2
TPS4e_Ch5_5.2

... If all outcomes in the sample space are equally likely, the probability that event A occurs can be found using the formula ...
Basic Prob Rules
Basic Prob Rules

Chapter 5 Addition rules for probability For mutually exclusive
Chapter 5 Addition rules for probability For mutually exclusive

MATH 471 / FALL 2012 ASSIGNMENT 3: DUE SEPTEMBER 17
MATH 471 / FALL 2012 ASSIGNMENT 3: DUE SEPTEMBER 17

... (b) According to Wikipedia, UH Manoa has 13,952 undergraduate students. Estimate the probability that no two students have the same initials. (Assume that you have no other information about the names of the students.) 2. A 5-card hand is dealt from a standard 52-card poker deck. Find the probabilit ...
P(B/A)
P(B/A)

... You put a CD that has 8 songs in your CD player. You set the player to play the songs at random. The player plays all 8 songs without repeating any song. ...
3_Probability
3_Probability

... Probability • The ‘probability’ of an event A in an experiment is supposed to measure how frequently A is about to occur if we make many trials. • If we flip a coin, then heads H and tails T will appear about equally often – we say that H and T are ‘equally likely’. • Similary, for a regular shaped ...
Rolling a Number Cube
Rolling a Number Cube

... 3) Make a graph of the probability distribution for the sum of two number cubes rolled 36 times, based on the theoretical probabilities of each sum. ...
Experimental Probability 1-3-13
Experimental Probability 1-3-13

Example (cont.)
Example (cont.)

2. Define B1, B2, B3 to be the events Box 1, 2 or 3, is selected
2. Define B1, B2, B3 to be the events Box 1, 2 or 3, is selected

... Experiment: • Box 1 has two gold coins • Box 2 has one gold coin and one silver. • Box 3 has two silver coins. • Suppose that you select one of the boxes randomly and then select one of the coins from this box. Question: What is the probability that the coin you select a gold coin? Solution: 1. Let’ ...
Probability
Probability

... What is the total number of possible outcomes? • Is called a sample space • Sample space is a set consisting of all the possible outcomes of an event. The number of different ways you can choose something from the sample space is the total number of possible outcomes. ...
I Agree
I Agree

... permutations than combinations because when order matters that is AB is not BA so with Permutations we have possibilities yet with combinations AB is treated the same as BA we only have one combination. So in the above example A is on the left, B is in the middle and C is on the right is one permuta ...
Discrete and Continuous Random Variables
Discrete and Continuous Random Variables

STA111 - Lecture 2 Counting and Conditional Probability 1 Basic
STA111 - Lecture 2 Counting and Conditional Probability 1 Basic

... the result is an even number. What is the probability that it is a 6? Well, our intuition tells us that it should be 1/3, since the only possible outcomes are 2, 4, and 6, and they should be equally likely. On the other hand, the probability that the result is, say, a 5, is 0, because we know that t ...
Stochastic Nature of Radioactivity
Stochastic Nature of Radioactivity

File
File

Chapter 4 Probability Concepts
Chapter 4 Probability Concepts

p.p chapter 5.3
p.p chapter 5.3

Curriculum Sequence: Statistics
Curriculum Sequence: Statistics

Week 3 - The University of Texas at Dallas
Week 3 - The University of Texas at Dallas

Probability Probability is
Probability Probability is

< 1 ... 346 347 348 349 350 351 352 353 354 ... 412 >

Probability

Probability is the measure of the likeliness that an event will occur. Probability is quantified as a number between 0 and 1 (where 0 indicates impossibility and 1 indicates certainty). The higher the probability of an event, the more certain we are that the event will occur. A simple example is the toss of a fair (unbiased) coin. Since the two outcomes are equally probable, the probability of ""heads"" equals the probability of ""tails"", so the probability is 1/2 (or 50%) chance of either ""heads"" or ""tails"".These concepts have been given an axiomatic mathematical formalization in probability theory (see probability axioms), which is used widely in such areas of study as mathematics, statistics, finance, gambling, science (in particular physics), artificial intelligence/machine learning, computer science, game theory, and philosophy to, for example, draw inferences about the expected frequency of events. Probability theory is also used to describe the underlying mechanics and regularities of complex systems.
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