# Probability & Stats 1: Basics

## Video Lectures

Displaying all 62 video lectures.

Lecture 1Play Video |
Introduction to Probability and StatisticsIn this video I will introduce the basic definitions and nomenclature of probability and statistics. Next video in series: http://youtu.be/GY86lxlWWbM |

Lecture 2Play Video |
Definition of Sets and ElementsIn this video I will define what are sets and elements. Next video in series: http://youtu.be/WelPq6Kgf7s |

Lecture 3Play Video |
Definition of Sample Spaces & FactorialsIn this video I will define what are sample spaces and factorials. Next video in series: http://youtu.be/EOk25Tb-1bM |

Lecture 4Play Video |
Definition of EventsIn this video I will define what an event. Next video in series: http://youtu.be/GU_2eQvVlCg |

Lecture 5Play Video |
Definition of Intersection, Union, Compliment, Venn DiagramIn this video I will define what are intersection, union, compliment, and venn diagram. Next video in series: http://youtu.be/2qCDKt23jHQ |

Lecture 6Play Video |
De Morgan's Law ExplainedIn this video I will explain De Morgan's Laws. Next video in series: http://youtu.be/ZuuXPW36OYU |

Lecture 7Play Video |
Union and Intersection - Another LookIn this video I will give a more in-depth definition of union and intersection. Next video in series: http://youtu.be/i6_byEFjKEA |

Lecture 8Play Video |
The Probability Function - A First LookIn this video I will explain what is the probability function. Next video in series: http://youtu.be/zReGHNdWvIo |

Lecture 9Play Video |
The Probability Function - Flipping 3 Coins, ExampleIn this video I will finds the various probabilities of flipping 3 coins. Next video in series: http://youtu.be/7utYtIpTDSU |

Lecture 10Play Video |
The Probability Function - Flipping Coins - General Formula 1In this video I will find and explain the general formula for probabilities of flipping 1, 2, 3,... coins. Next video in series: http://youtu.be/wd3-i7kwXmk |

Lecture 11Play Video |
The Probability Function - Flipping Coins - General Formula 2In this video I will derive the general formula for the probabilities of flipping n coins. Next video in series: http://youtu.be/aHAYefD5sy0 |

Lecture 12Play Video |
The Probability Function - Flipping 10 Coins - ExampleIn this video I will find the probabilities of certain outcomes of flipping 10 coins. Next video in series: http://youtu.be/HpXAlpnoq1U |

Lecture 13Play Video |
The Probability of an Event NOT OccurringIn this video I will explain and find the probability of an event NOT occurring. Next video in series: http://youtu.be/tjwc_Y34Pms |

Lecture 14Play Video |
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. Next video in series: http://youtu.be/fAQrTvEYB0A |

Lecture 15Play Video |
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 16Play Video |
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.. Next video in series: http://youtu.be/VMcBkIhzEhU |

Lecture 17Play Video |
The "At Least One or Once" RuleIn this video I will explain the “at least one or once rule”. Next video in series: http://youtu.be/-b6FuQvHEmQ |

Lecture 18Play Video |
The "At Least One or Once" Rule - ExampleIn this video I will find the probability of rolling (a die) at least one “6” in four tries. Next video in series: http://youtu.be/r9SJxqcWOw8 |

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

Lecture 20Play Video |
The "At Least One or Once" Rule - Example 3In 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%. Next video in series: http://youtu.be/7TxSi1FwSSo |

Lecture 21Play Video |
Probability - 4 More Basic ExamplesIn this video I will review 4 examples of probabilities. Next video in series: http://youtu.be/rOohq7jsq-A |

Lecture 22Play Video |
Probability - 3 More Basic ExamplesIn 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)=? Next video in series: http://youtu.be/n9FtpMcJ2x4 |

Lecture 23Play Video |
Calculating the Odds -For, -Against, and -OnIn this video I will explain odds for, odds against, and odds on an event. Next video in series: http://youtu.be/2xXUK7GLo1s |

Lecture 24Play Video |
Calculating the Odds and Horse RacingIn this video I will calculate the odds on, and odds against in horse racing. Next video in series: http://youtu.be/IN1T8eMAjPg |

Lecture 25Play Video |
Conditional Probability ExplainedIn this video I will explain and gives an example of conditional probability. Next video in series: http://youtu.be/Lv5Bgpokkg4 |

Lecture 26Play Video |
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”. Next video in series: http://youtu.be/EdSZ9Qfz7Tg |

Lecture 27Play Video |
Conditional Probability - Independent Event ExplainedIn this video I will explain and gives an example conditional probability and independent events. Next video in series: http://youtu.be/21V9WBJLAL8 |

Lecture 28Play Video |
Basic Definitions and Symbols SummarizedIn this video I will summarize the basic definitions and symbols of sets. Next video in series: http://youtu.be/vSeLNpORtaw |

Lecture 29Play Video |
Basic Theorems 1 - 5In this video I will explain Theorem 1-5. Next video in series: http://youtu.be/0h1lnzQR_5o |

Lecture 30Play Video |
Basic Theorems 6 - 10In this video I will explain Theorem 6-10. Next video in series: http://youtu.be/nSXFtcHKfOk |

Lecture 31Play Video |
Basic Theorems 11 - 14In this video I will explain Theorem 11-14. Next video in series: http://youtu.be/VM8mhbkkqeU |

Lecture 32Play Video |
Calculation Probability Summary (1 of 3)In this video I will summarize (Part 1) the calculation of probability. Next video in series: http://youtu.be/PGpVB2SGghg |

Lecture 33Play Video |
Calculation Probability Summary (2 of 3)In this video I will summarize (Part 2) the calculation of probability. Next video in series: http://youtu.be/6ZdQ2JOlq0A |

Lecture 34Play Video |
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 35Play Video |
Combinations and Permutations ExplainedIn this video I will introduce and explains permutations and combinations. Next video in series: http://youtu.be/Uh8I_nrMy_s |

Lecture 36Play Video |
Permutations and Combinations - Example 1In this video I will find how many ways can 8 objects occupy 5 spaces. Next video in series: http://youtu.be/uLGljYtX4Ks |

Lecture 37Play Video |
Permutations and Combinations - Example 2In 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. Next video in series: http://youtu.be/jDLxX1UH_5I |

Lecture 38Play Video |
Permutations and Combinations - Example 3In this video I will find the permutation and combination of 5 colors in 5,4,3,2,1 spaces. Next video in series: http://youtu.be/BVPLxtyH730 |

Lecture 39Play Video |
Permutations and Combinations - Example 4In this video I will find the permutation and combination of 7 people with 5 chairs. Next video in series: http://youtu.be/jZrQA-Z5cnY |

Lecture 40Play Video |
Permutations and Combinations - Example 5In 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. Next video in series: http://youtu.be/Tit-HHqBMc8 |

Lecture 41Play Video |
Permutations and Combinations - Example 6In 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. Next video in series: http://youtu.be/RV6X8BlO2_Y |

Lecture 42Play Video |
Permutations and Combinations - ExampleIn 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 43Play Video |
Permutations and Combinations - Example 8In this video I will find the permutations of 3 blue, 5 red, and 2 white marbles where some colors cannot be distinguished. Next video in series: http://youtu.be/xQ2IrexgMv4 |

Lecture 44Play Video |
Permutations and Combinations - Example 9In 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 45Play Video |
Permutations and Combinations - Example 10In this video I will find the permutations of 3 people sitting at a round table. Next video in series: http://youtu.be/jq-27MUFm6o |

Lecture 46Play Video |
Permutations and Combinations - Example 11In this video I will find the permutations of 4 people sitting at a round table. First video in series: http://youtu.be/QquicwTEiX4 |

Lecture 47Play Video |
Permutations and Combinations - Example 12In 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 48Play Video |
Permutations and Combinations - Example 13In 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. Next video in series: http://youtu.be/iAy0EG4LCd4 |

Lecture 49Play Video |
Permutations and Combinations - Example 14In 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}. Next video in series: http://youtu.be/qYcAt0qb5RA |

Lecture 50Play Video |
Permutations and Combinations - Example 15In this video I will find how many 3-person search teams can be formed by 12 boy scouts. Next video in series: http://youtu.be/JSm2pk6Pjvw |

Lecture 51Play Video |
Permutations and Combinations - Example 16In this video I will find the number of committees can be formed by 6 republicans and 6 democrats. Next video in series: http://youtu.be/JTBS94sskvc |

Lecture 52Play Video |
Permutations and Combinations - Example 17In this video I will find the number of nut mixtures can be made with 4 different nuts. Next video in series: http://youtu.be/PH7UhwQXllY |

Lecture 53Play Video |
Permutations and Combinations - Example 18In 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 54Play Video |
Conditional Probability BasicsIn this video I will explain the basics of conditional probability. Next video in series: http://youtu.be/_Jp95CcOfRA |

Lecture 55Play Video |
Conditional Probability - ExampleIn 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 56Play Video |
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 57Play Video |
Conditional Probability - "Theorem 2"In this video I will introduce Bayes's Theorem. Next video in series: http://youtu.be/gtXQv6dfyvs |

Lecture 58Play Video |
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 59Play Video |
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 60Play Video |
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 61Play Video |
Conditional Probability: Baye's Theorem Example 1In 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 62Play Video |
Conditional Probability: Baye's Theorem Example 2In 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 |