Pascal's wager

Pascal's Diamond.

Sum of Entries Pascal's Triangle: https://youtu.be/gxFl1fGn_kg Gaussian Diamond: https://youtu.be/8P0nvUjUZJU Today we take a look at another gem! We be talkign about a diamond fraction in the form of Pascal's Triangle! :) The Solution involves Floors and is pretty spicy overall! =D Enjoy

From playlist Number Theory

Pascal's Triangle and the Binomial Coefficients

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Pascal's Triangle and the Binomial Coefficients. In this video I show how one can use Pascal's Triangle to quickly compute the binomial coefficients! I do no

From playlist All Videos - Part 8

The amazing secrets of Pascal's Triangle!

Pascal's Triangle is packed full of hidden patterns and sequences, some of which I talk about in this video, hope you enjoy! Correction: At 1:06, the first exponent is supposed to be 0. Image credit: Beojan Stanislaus, https://en.wikipedia.org/wiki/Sierpiński_triangle#/media/File:Sierp

From playlist Summer of Math Exposition Youtube Videos

Mathsplanations: 5 Reasons to like Pascal's Triangle

This video lists 5 cool facts about Pascal's Triangle, including how to build it and what the number are counting and how they can be useful. The numbers in Pascal's Triangle are called binomial coefficients or nCk. For a more in-depth videos about Pascal's Triangle, check out my other ch

From playlist Mathsplanations

Pascal's Triangle & its Sum of Entries of Each Row [Binomial Theorem, Generating Polynomial]

Help me create more free content! =) https://www.patreon.com/mathable Merch :v - https://papaflammy.myteespring.co/ https://www.amazon.com/shop/flammablemaths https://shop.spreadshirt.de/papaflammy Become a Member of the Flammily! :0 https://www.youtub

From playlist Number Theory

Is AI Safety a Pascal's Mugging?

An event that's very unlikely is still worth thinking about, if the consequences are big enough. What's the limit though? Do we have to devote all of our resources to any outcome that might give infinite payoffs, even if it seems basically impossible? Does the case for AI Safety rely on t

From playlist Best Of

Pascal's wager and real numbers

My entry for 3blue1brown's contest, talking about Pascal's wager and how it leads to interesting questions about (hyper)real numbers. A big shoutout to Grant for coming up with this wonderful idea. Link to Thierry Platinis channel for more on hyperreal numbers: https://www.youtube.com/cha

From playlist Summer of Math Exposition Youtube Videos

Indiana Jones & Pascal's Wager: Crash Course Philosophy #15

Today we conclude our unit on Philosophy of Religion and Hank gets a little help from Indiana Jones to explain religious pragmatism and Pascal’s Wager, fideism, and Kierkegaard’s leap to faith. -- “Indiana Jones” © Copyright Walt Disney Studios All other images and video via VideoBlocks

From playlist Philosophy

Discrete Math: 02. Rowsums of Pascal's Triangle

The rowsums of Pascal's Triangle are always powers of 2. Here I provide a combinatorial proof of this fact. The proof involves a very useful technique involving sequences of 0's and 1's. I describe the technique using a small example before moving to the general proof. --An introduction

From playlist Discrete Math part-1

Steven Weinberg - Debating God's Existence?

Whether or not God exists is a vital question and that's why debates about God are important. Arguments for and against the existence of God are productive. Debating God is the best way for clarifying ways of thinking and challenging conventional beliefs on all sides. We encourage debate a

From playlist Big Questions About God - Closer To Truth - Core Topic

The Expected Value of Pyramid Dice (Casino Game) #SoME2

A video that shows how to calculate the Expected Value of the Casino Game Pyramid Dice. This is an interesting, but not too complex combinatorics problem. Prior to this video (July 2022), there was no complete and publicly available analysis of Pyramid Dice. The analysis in this video is

From playlist Summer of Math Exposition 2 videos

Making Probability Mathematical | Infinite Series

Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi What happened when a gambler asked for help from a mathematician? The formal study of Probability. Go to http://squarespace.com/infiniteseries and use code “INFINITE” f

From playlist Prob and Stats

Pascal's Triangle and Binomial Theorem - The Connection

Exploring the relation between the Pascal's Triangle and the Binomial Theorem - why the binomial coefficients of nth power correspond to the values in the nth row of the triangle. Timestamps : 0:00 Introduction 2:50 nCr 4:44 Identity 7:35 nCr to Pascal's Triangle 12:40 Binomial to Pascal

From playlist Summer of Math Exposition Youtube Videos

Web 2.0 Expo NY: Tim O'Reilly (O'Reilly Media, Inc.), Enterprise Radar

Enterprise Radar

From playlist Web 2.0 Expo New York 2008

Michael Shermer - Considering God’s Existence?

Should believing in God be the product of one's own thinking? Shoule we avoid simply following the traditions or norms of the society or social group in which we were born? In assessing God's existence, what are the kinds of issues to address, problems to solve, questions to answer? What a

From playlist Big Questions About God - Closer To Truth - Core Topic

Arguments Against God? | Episode 405 | Closer To Truth

All who affirm that God does exist should examine the strong attacks of those who conclude that God does not exist, and then assess the sharp counterattacks of scholarly believers. Belief in God is too important to be determined by cultural circumstances. Featuring interviews with Susan Bl

From playlist Closer To Truth | Season 4

Learn how to apply the quotient rule of exponents with numbers

👉 Learn about the rules of exponents. An exponent is a number which a number is raised to, to produce a power. It is the number of times which a number will multiply itself in a power. There are several rules used in evaluating exponents. Some of the rules includes: the product rule, which

From playlist Simplify Using the Rules of Exponents

What is the product of powers of exponents

👉 Learn about the rules of exponents. An exponent is a number which a number is raised to, to produce a power. It is the number of times which a number will multiply itself in a power. There are several rules used in evaluating exponents. Some of the rules includes: the product rule, which

From playlist Simplify Using the Rules of Exponents

The Binomial Theorem and Pascal's Triangle

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! The Binomial Theorem and Pascal's Triangle. Here we find a binomial expansion using the Binomial Theorem and Pascal's Triangle.

From playlist All Videos - Part 2

Who Should Superman Save? | Philosophy Tube ft. NerdSync

Morally speaking, who does the Man of Steel have a duty to save? NerdSync video: http://tinyurl.com/q7twdcz More videos like this: http://tinyurl.com/ouobfc Subscribe! http://www.youtube.com/subscription_center?add_user=thephilosophytube Patreon: http://www.patreon.com/PhilosophyTube Au

From playlist TV, FILMS, & BOOKS