Probability & Stats 1: Basics

Video Lectures

Displaying all 62 video lectures.
Lecture 1
Introduction to Probability and Statistics
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Introduction to Probability and Statistics
In this video I will introduce the basic definitions and nomenclature of probability and statistics.

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Lecture 2
Definition of Sets and Elements
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Definition of Sets and Elements
In this video I will define what are sets and elements.

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Lecture 3
Definition of Sample Spaces & Factorials
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Definition of Sample Spaces & Factorials
In this video I will define what are sample spaces and factorials.

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Lecture 4
Definition of Events
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Definition of Events
In this video I will define what an event.

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Lecture 5
Definition of Intersection, Union, Compliment, Venn Diagram
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Definition of Intersection, Union, Compliment, Venn Diagram
In this video I will define what are intersection, union, compliment, and venn diagram.

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http://youtu.be/2qCDKt23jHQ
Lecture 6
De Morgan's Law Explained
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De Morgan's Law Explained
In this video I will explain De Morgan's Laws.

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http://youtu.be/ZuuXPW36OYU
Lecture 7
Union and Intersection - Another Look
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Union and Intersection - Another Look
In this video I will give a more in-depth definition of union and intersection.

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http://youtu.be/i6_byEFjKEA
Lecture 8
The Probability Function - A First Look
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The Probability Function - A First Look
In this video I will explain what is the probability function.

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http://youtu.be/zReGHNdWvIo
Lecture 9
The Probability Function - Flipping 3 Coins, Example
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The Probability Function - Flipping 3 Coins, Example
In this video I will finds the various probabilities of flipping 3 coins.

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http://youtu.be/7utYtIpTDSU
Lecture 10
The Probability Function - Flipping Coins - General Formula 1
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The Probability Function - Flipping Coins - General Formula 1
In this video I will find and explain the general formula for probabilities of flipping 1, 2, 3,... coins.

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http://youtu.be/wd3-i7kwXmk
Lecture 11
The Probability Function - Flipping Coins - General Formula 2
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The Probability Function - Flipping Coins - General Formula 2
In this video I will derive the general formula for the probabilities of flipping n coins.

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http://youtu.be/aHAYefD5sy0
Lecture 12
The Probability Function - Flipping 10 Coins - Example
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The Probability Function - Flipping 10 Coins - Example
In this video I will find the probabilities of certain outcomes of flipping 10 coins.

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http://youtu.be/HpXAlpnoq1U
Lecture 13
The Probability of an Event NOT Occurring
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The Probability of an Event NOT Occurring
In this video I will explain and find the probability of an event NOT occurring.

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http://youtu.be/tjwc_Y34Pms
Lecture 14
The Probability of A or B (Independent Events)
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The Probability of A or B (Independent Events)
In this video I will explain and find the probability of an “or” condition, P(A or B), independent events.

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http://youtu.be/fAQrTvEYB0A
Lecture 15
The Probability of A or B (Dependent Events)
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The Probability of A or B (Dependent Events)
In this video I will find the probability of an “or” condition with dependent events.

Next video in series:
http://youtu.be/M6sPl1FO_Q0
Lecture 16
The Probability of A or B (Dependent Events)
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The Probability of A or B (Dependent Events)
In this video I will find the probability of an “or” condition with more complicated dependent events of the probability of picking a woman or a person with dark hair in a room of 2 women with dark hair, 2 women with light hair, 2 men with dark hair, and 2 men with light hair..

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Lecture 17
The
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The "At Least One or Once" Rule
In this video I will explain the “at least one or once rule”.

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Lecture 18
The
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The "At Least One or Once" Rule - Example
In this video I will find the probability of rolling (a die) at least one “6” in four tries.

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http://youtu.be/r9SJxqcWOw8
Lecture 19
The
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The "At Least One or Once" Rule - Example 2
In this video I will find the probability of rolling (2 dice) a double “6” in 24 tries.

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http://youtu.be/JEfk_KGBwzg
Lecture 20
The
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The "At Least One or Once" Rule - Example 3
In this video I will find the probability of getting a “3” rolling a die twice, rolling a die three times, and how many attempts are needed if the probability of getting a "3" is 99%.

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http://youtu.be/7TxSi1FwSSo
Lecture 21
Probability - 4 More Basic Examples
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Probability - 4 More Basic Examples
In this video I will review 4 examples of probabilities.

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Lecture 22
Probability - 3 More Basic Examples
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Probability - 3 More Basic Examples
In this video I will review 3 more examples of probabilities of a) P(picking 2 dark and 1 milk chocolate)=? b) P(rolling 2 dice and getting a 7)=? c) P(rolling 2 dice and getting a 7 or 11)=?

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Lecture 23
Calculating the Odds -For, -Against, and -On
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Calculating the Odds -For, -Against, and -On
In this video I will explain odds for, odds against, and odds on an event.

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Lecture 24
Calculating the Odds and Horse Racing
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Calculating the Odds and Horse Racing
In this video I will calculate the odds on, and odds against in horse racing.

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http://youtu.be/IN1T8eMAjPg
Lecture 25
Conditional Probability Explained
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Conditional Probability Explained
In this video I will explain and gives an example of conditional probability.

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Lecture 26
Conditional Probability (of a Person Born)
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Conditional Probability (of a Person Born)
In this video I will finds the probability of a person born in a 31-day month and a month with a “r”.

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http://youtu.be/EdSZ9Qfz7Tg
Lecture 27
Conditional Probability - Independent Event Explained
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Conditional Probability - Independent Event Explained
In this video I will explain and gives an example conditional probability and independent events.

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http://youtu.be/21V9WBJLAL8
Lecture 28
Basic Definitions and Symbols Summarized
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Basic Definitions and Symbols Summarized
In this video I will summarize the basic definitions and symbols of sets.

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Lecture 29
Basic Theorems 1 - 5
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Basic Theorems 1 - 5
In this video I will explain Theorem 1-5.

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Lecture 30
Basic Theorems 6 - 10
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Basic Theorems 6 - 10
In this video I will explain Theorem 6-10.

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Lecture 31
Basic Theorems 11 - 14
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Basic Theorems 11 - 14
In this video I will explain Theorem 11-14.

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Lecture 32
Calculation Probability Summary (1 of 3)
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Calculation Probability Summary (1 of 3)
In this video I will summarize (Part 1) the calculation of probability.

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Lecture 33
Calculation Probability Summary (2 of 3)
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Calculation Probability Summary (2 of 3)
In this video I will summarize (Part 2) the calculation of probability.

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Lecture 34
Calculation Probability Summary (3 of 3)
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Calculation Probability Summary (3 of 3)
In this video I will summarize (Part 3) the calculation of probability.

Next video in series:
http://youtu.be/nWEtNq4_ehg
Lecture 35
Combinations and Permutations Explained
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Combinations and Permutations Explained
In this video I will introduce and explains permutations and combinations.

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Lecture 36
Permutations and Combinations - Example 1
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Permutations and Combinations - Example 1
In this video I will find how many ways can 8 objects occupy 5 spaces.

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Lecture 37
Permutations and Combinations - Example 2
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Permutations and Combinations - Example 2
In this video I will find the permutation and combination of 4 women, 5 men, and 3 children when a) order does not matter and b) order matters.

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Lecture 38
Permutations and Combinations - Example 3
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Permutations and Combinations - Example 3
In this video I will find the permutation and combination of 5 colors in 5,4,3,2,1 spaces.

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Lecture 39
Permutations and Combinations - Example 4
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Permutations and Combinations - Example 4
In this video I will find the permutation and combination of 7 people with 5 chairs.

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Lecture 40
Permutations and Combinations - Example 5
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Permutations and Combinations - Example 5
In this video I will find the permutation 4 women, 3 men, and 7 theater seats where women sit in odd and men in odd number seats.

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http://youtu.be/Tit-HHqBMc8
Lecture 41
Permutations and Combinations - Example 6
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Permutations and Combinations - Example 6
In this video I will find how many 3-digit numbers can be form with S={0,1,2,3,4,5,6,7,8,9} with a) repetition; b) no repetition; c) last digit must be odd; d) no repeats and last digit must be odd.

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Lecture 42
Permutations and Combinations - Example
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Permutations and Combinations - Example
In this video I will find the permutation and combination of 3 math, 2 history, and 4 biology books.

First video in series:
http://youtu.be/7DAEOfbLePg
Lecture 43
Permutations and Combinations - Example 8
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Permutations and Combinations - Example 8
In this video I will find the permutations of 3 blue, 5 red, and 2 white marbles where some colors cannot be distinguished.

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http://youtu.be/xQ2IrexgMv4
Lecture 44
Permutations and Combinations - Example 9
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Permutations and Combinations - Example 9
In this video I will find the permutations of 2 blue and 2 red marbles where the same color marbles cannot be distinguished.

Next video in series:
http://youtu.be/Fo8YdimvS24
Lecture 45
Permutations and Combinations - Example 10
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Permutations and Combinations - Example 10
In this video I will find the permutations of 3 people sitting at a round table.

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Lecture 46
Permutations and Combinations - Example 11
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Permutations and Combinations - Example 11
In this video I will find the permutations of 4 people sitting at a round table.

First video in series:
http://youtu.be/QquicwTEiX4
Lecture 47
Permutations and Combinations - Example 12
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Permutations and Combinations - Example 12
In this video I will find the permutations of 6 people sitting at a round table with a) no restrictions; b) 2 cannot sit next to each other.

Next video in series:
http://youtu.be/T5EWSbDLf_U
Lecture 48
Permutations and Combinations - Example 13
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Permutations and Combinations - Example 13
In this video I will find the permutations of 6 people sitting at a rectangular table with a) no restrictions; b) 2 cannot sit next to each other.

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http://youtu.be/iAy0EG4LCd4
Lecture 49
Permutations and Combinations - Example 14
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Permutations and Combinations - Example 14
In this video I will find how many ways can 7 numbers can be placed on the left and 3 on the right side given S={0,1,2,3,4,5,6,7,8,9}.

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http://youtu.be/qYcAt0qb5RA
Lecture 50
Permutations and Combinations - Example 15
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Permutations and Combinations - Example 15
In this video I will find how many 3-person search teams can be formed by 12 boy scouts.

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Lecture 51
Permutations and Combinations - Example 16
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Permutations and Combinations - Example 16
In this video I will find the number of committees can be formed by 6 republicans and 6 democrats.

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http://youtu.be/JTBS94sskvc
Lecture 52
Permutations and Combinations - Example 17
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Permutations and Combinations - Example 17
In this video I will find the number of nut mixtures can be made with 4 different nuts.

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http://youtu.be/PH7UhwQXllY
Lecture 53
Permutations and Combinations - Example 18
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Permutations and Combinations - Example 18
In this video I will find the number of words that can be formed by 6 consonants and 5 vowels.

Next video in series:
http://youtu.be/Vg7CU6KjIlc
Lecture 54
Conditional Probability Basics
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Conditional Probability Basics
In this video I will explain the basics of conditional probability.

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http://youtu.be/_Jp95CcOfRA
Lecture 55
Conditional Probability - Example
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Conditional Probability - Example
In this video I will find the conditional probability of B={1,2,3} if A={1,3,5} has already occurred.

Next video in series:
http://youtu.be/_QUbIkeklSk
Lecture 56
Conditional Probability -
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Conditional Probability - "Theorem 1"
In this video I will find the conditional probability of A1={1,2,3}, A2={2,3,4}, A3={3,4,5} intersecting.

Next video in series:
http://youtu.be/Of9DRXz0XWQ
Lecture 57
Conditional Probability -
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Conditional Probability - "Theorem 2"
In this video I will introduce Bayes's Theorem.

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http://youtu.be/gtXQv6dfyvs
Lecture 58
Conditional Probability: Bayes' Theorem (Part 1 of 3).
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Conditional Probability: Bayes' Theorem (Part 1 of 3).
In this video I will explain Bayes' Theorem (Part 1 of 3).

Next video in series:
http://youtu.be/ODJ5ePSXtRM
Lecture 59
Conditional Probability: Bayes' Theorem (Part 2 of 3))
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Conditional Probability: Bayes' Theorem (Part 2 of 3))
In this video I will explain Bayes' Theorem (Part 2 of 3).

Next video in series:
http://youtu.be/gwpBkLIHKO4
Lecture 60
Conditional Probability: Bayes' Theorem (Part 3 of 3))
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Conditional Probability: Bayes' Theorem (Part 3 of 3))
In this video I will explain Bayes' Theorem (Part 3 of 3).

Next video in series:
http://youtu.be/GZhluej5gfE
Lecture 61
Conditional Probability: Baye's Theorem Example 1
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Conditional Probability: Baye's Theorem Example 1
In this video I will find the conditional probability that heads or tail was flipped given that a red marble was pulled.

Next video in series:
http://youtu.be/Dr7v_vG7pUc
Lecture 62
Conditional Probability: Baye's Theorem Example 2
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Conditional Probability: Baye's Theorem Example 2
In this video I will find the conditional probability that heads or tail was flipped given that a blue marble was pulled.

First video in series:
\http://youtu.be/f26vt5uQ_uI