In probability theory and logic, a set of events is jointly or collectively exhaustive if at least one of the events must occur. For example, when rolling a six-sided die, the events 1, 2, 3, 4, 5, and 6 balls of a single outcome are collectively exhaustive, because they encompass the entire range of possible outcomes. Another way to describe collectively exhaustive events is that their union must cover all the events within the entire sample space. For example, events A and B are said to be collectively exhaustive if where S is the sample space. Compare this to the concept of a set of mutually exclusive events. In such a set no more than one event can occur at a given time. (In some forms of mutual exclusion only one event can ever occur.) The set of all possible die rolls is both mutually exclusive and collectively exhaustive (i.e., "MECE"). The events 1 and 6 are mutually exclusive but not collectively exhaustive. The events "even" (2,4 or 6) and "not-6" (1,2,3,4, or 5) are also collectively exhaustive but not mutually exclusive. In some forms of mutual exclusion only one event can ever occur, whether collectively exhaustive or not. For example, tossing a particular biscuit for a group of several dogs cannot be repeated, no matter which dog snaps it up. One example of an event that is both collectively exhaustive and mutually exclusive is tossing a coin. The outcome must be either heads or tails, or p (heads or tails) = 1, so the outcomes are collectively exhaustive. When heads occurs, tails can't occur, or p (heads and tails) = 0, so the outcomes are also mutually exclusive. (Wikipedia).
Hurricane Katrina (2005) | A Day That Shook the World
A Day That Shook the World recalls the days of the 20th century that proved to be era-defining and pivotal in the course of modern history. These are the days on which political revolutions, technological breakthroughs, and sporting triumphs took place, and whose effects were felt the worl
From playlist NATURAL DISASTERS
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From playlist Miscellaneous
Pearl Harbor: The Last Word - After the Attack | History
Chaos and confusion reigned as survivors scrambled to protect the Hawaiian islands in the aftermath of the attack. Newsletter: https://www.history.com/newsletter Website - http://www.history.com Facebook - https://www.facebook.com/History Twitter - https://twitter.com/history HISTORY Top
From playlist Pearl Harbor Day 2017 | History
Pearl Harbor: The Last Word - The Attack on Pearl Harbor: The Second Wave | History
As they struggled to recover their injured and dead comrades, Pearl Harbor servicemen endured a second wave of attacks. Newsletter: https://www.history.com/newsletter Website - http://www.history.com Facebook - https://www.facebook.com/History Twitter - https://twitter.com/history HISTOR
From playlist Pearl Harbor Day 2017 | History
Pearl Harbor: The Last Word - Could Pearl Harbor Have Been Prevented? | History
A look back at the intelligence failures and oversights that led to the successful Japanese attack on Pearl Harbor in 1941. Newsletter: https://www.history.com/newsletter Website - http://www.history.com Facebook - https://www.facebook.com/History Twitter - https://twitter.com/history HI
From playlist Pearl Harbor Day 2017 | History
Pearl Harbor: The Last Word - Internment | History
The Pearl Harbor attack caused a wave of nationalist resentment that had long-reaching effects on the Japanese-American population. Newsletter: https://www.history.com/newsletter Website - http://www.history.com Facebook - https://www.facebook.com/History Twitter - https://twitter.com/his
From playlist Pearl Harbor Day 2017 | History
Pearl Harbor: The Last Word - The Attack on Pearl Harbor: The First Wave | History
Though blindsided by the attack, Pearl Harbor fighters made a valiant effort to combat the first wave of Japanese planes. Newsletter: https://www.history.com/newsletter Website - http://www.history.com Facebook - https://www.facebook.com/History Twitter - https://twitter.com/history HIST
From playlist Pearl Harbor Day 2017 | History
1. Probability Models and Axioms
MIT 6.041 Probabilistic Systems Analysis and Applied Probability, Fall 2010 View the complete course: http://ocw.mit.edu/6-041F10 Instructor: John Tsitsiklis License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.041SC Probabilistic Systems Analysis and Applied Probability, Fall 2013
Rec 13 | MIT 6.01SC Introduction to Electrical Engineering and Computer Science I, Spring 2011
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From playlist MIT 6.01SC Introduction to EECS I
The basic principles of design and operation is explained demonstrating the pressure hull, conning tower, control, bridge and engine compartments and crew responsibilities.
From playlist Mechanical Engineering
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Lecture on Bayesian probability. From the product rule to the derivation of Bayes' Theorem, to solving a variety of probability problems and making observations. Bayesian approaches for updating prior probabilities with new information. Follow along with the demonstration workflow in Pyt
From playlist Data Analytics and Geostatistics
You and the Planet: fresh ideas for tackling air pollution | The Royal Society
Air pollution causes around 7 million premature deaths every year, according to the World Health Organisation. What can we do? Subscribe to our channel for exciting science videos and live events, many hosted by Brian Cox, our Professor for Public Engagement: https://www.youtube.com/royals
From playlist Latest talks and lectures
Thank God You're Here - Performance (2013 Final Prefect Assembly)
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From playlist Data Handling: Probability
Mephisto and the Battle of Villers-Bretonneux
New World of Tanks players go to https://tanks.ly/3g7wRhL and use the code FIREAWAY to get - Matilda Black Prince (Tier V) - 7 days of WoT Premium Access - 1 garage slot and 100% crew 2 rental tanks for 10 battles each: - Tiger 131 - Sherman VC Firefly The Second battle of Villers-Bretonn
From playlist Tanks and armored vehicles
Excel 2013 Statistical Analysis #30: Bayes’ Theorem to Calculate Posterior Probabilities
Download Excel file: https://people.highline.edu/mgirvin/AllClasses/210Excel2013/Ch04/Excel2013StatisticsChapter04.xlsm Download pdf notes file: https://people.highline.edu/mgirvin/AllClasses/210Excel2013/Ch04/Ch04PDFBusn210.pdf Topics in this video: 1. (00:11) Define and give example of B
From playlist Excel for Statistical Analysis in Business & Economics Free Course at YouTube (75 Videos)
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From playlist Basic Business Statistics (QBA 237 - Missouri State University)
Pearl Harbor: The Last Word - The War in Japan | History
As American servicemen prepared for a bloody battle in the Pacific, an unprecedented event would change the course of WWII. Newsletter: https://www.history.com/newsletter Website - http://www.history.com Facebook - https://www.facebook.com/History Twitter - https://twitter.com/history HI
From playlist Pearl Harbor Day 2017 | History