Тёмный

Law of Large Numbers vs. Gambler's Fallacy 

mathAHA
Подписаться 1,5 тыс.
Просмотров 1,1 тыс.
50% 1

Does the truth of the Law of Large Numbers contradict the fact that the Gambler's Fallacy is, indeed, a fallacy? Imagine you start your day flipping 10 coins and 8 of the 10 of those flips are tails. On the one hand, the Law of Large Numbers implies that the heads will, in time, "catch up" to the tails. On the other hand, the Gambler's Fallacy teaches us to be wary of the idea that the heads will "catch up". What's the catch? Is there a contradiction here? No, there is not. This video explains why.

Опубликовано:

 

21 сен 2024

Поделиться:

Ссылка:

Скачать:

Готовим ссылку...

Добавить в:

Мой плейлист
Посмотреть позже
Комментарии : 9   
@protegelin
@protegelin Месяц назад
Go to casino once in a while and have some fun to destress... Treat it as a donation... don't expect/hope to win anything
@algorithmo134
@algorithmo134 2 года назад
At 2:30 can you explain why the gambler will have 2 dollar more than we lost
@mathaha2922
@mathaha2922 2 года назад
Thanks for your question. Maybe I didn't enunciate properly at 2:30. What I was trying to say is that we, the gambler, have now lost even two dollars more than we had this morning, since we bet on heads and just flipped 1,000,001 tails and 999,999 heads. Does that help?
@algorithmo134
@algorithmo134 2 года назад
@@mathaha2922 ah i see
@FrankyBono
@FrankyBono 2 года назад
Sehr interessant! Dieses Phänomen hatte ich tatsächlich auch (ungelöst) in meinem Kopf. Relation vs. absolute Häufigkeit als Lösung macht aber total sinn. Wobei der gambler eher komplexere spiele spielen wird, als eine Münze zu werfen. Beim Roulette wirds schon schwieriger? :)
@mathaha2922
@mathaha2922 2 года назад
Beim Roulette würden meiner Ansicht nach genau die gleichen Prinzipien gelten. Danke für den Kommentar!
@anuj7876
@anuj7876 Год назад
Sir, I think the coin is not random it is predictible let's flip 10000 coin usually human is the one who flips the coin so out of 10000 coin flip majority of them flipped in same power same energy it is highly possible that the majority of the flips has gone up at the same height so if we set the coin face up head and flip 10k times vs flipping a coin 10k time face up tail it will affect to the result of the 2 situation this way I think the coin is predictible plzz answer where is the problem I want to know
@mathaha2922
@mathaha2922 Год назад
Thanks for your comment. I would tend to agree. While it is beside the point of the video, given the initial conditions of a coin flip, you could theoretically predict its outcome. A coin flip *models* a random process, because making this prediction is not feasible in practice -- but it is not itself truly random. Thanks again for the comment!
@anuj7876
@anuj7876 Год назад
@@mathaha2922 🤗 thanks you so much
Далее
The Law of Large Numbers - Explained
6:32
Просмотров 21 тыс.
How Big is Graham's Number? (feat Ron Graham)
8:23
Просмотров 1,5 млн
How to split your drink
00:45
Просмотров 1,9 млн
TREE vs Graham's Number - Numberphile
23:50
Просмотров 1,2 млн
The Law of Large Numbers
3:27
Просмотров 7 тыс.
The Magic Economics of Gambling
11:24
Просмотров 3,1 млн
What is the "Law of Large Numbers" in Sports Betting?
10:56
World's smartest person wrote this one mysterious book
18:15
The gambler's fallacy
2:52
Просмотров 62 тыс.