Unit 4, 10 Monty Hall Problem knowitvideos English Czech

Unit 4, 10 Monty Hall ProblemYouTube↗ IA↗(long shot)
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Now, just one more thing.

A ještě něco.

I can't help but describe what is probably the most famous probability problem of all.

Nemohu si pomoci, než popsat jeden z nejfamóznějších problémů pravděpodobnosti.

It's called the Monty Hall Problem after the game show host.

Jmenuje se Monty Hall problém, pojmenovaný po moderátorovi soutěžní show.

And the idea is that you're on a game show, and there's 3 doors:

Myšleka je taková, že jste soutěžící a před Vámi jsou troje dveře:

door #1, door #2, and door #3.

dveře č.1, dveře č.2 a dveře č.3

And behind each door is a prize, and you know that one of the doors

Za každými z těchto dveří je skryta cena. Vy víte, že jedny z těchto dveří

contains an expensive sports car, which you would find desirable,

skrývají drahé sportovní auto, které považujete za žádoucí,

and the other 2 doors contain a goat, which you would find less desirable.

a za dalšími 2 dveřmi je koza. Tu za tak žádoucí již nepovažujete.

Now, say you're given a choice, and let's say you choose door #1.

Nyní, máte na výběr, a řekněme, že si vyberete dveře č.1

But according to the conventions of the game, the host, Monty Hall,

Ale podle pravidel hry, moderátor, Monty Hall,

will now open one of the doors, knowing that the door that he opens

nyní otevře jedny z dveří, přičemž ví, že dveře, které otevře

contains a goat, and he shows you door #3.

skrývají kozu. Dveře které otevře jsou č.3.

And he now gives you the opportunity to stick with your choice

Nyní Vám dá možnost držet se původní volby,

or to switch to the other door.

nebo změnit volbu na druhé dveře.

What I want you to tell me is, what is your probability of winning

Po Vás nyní chci, abyste mi řekli, jaká je pravděpodobnost výhry

if you stick to door #1, and what is the probability of winning

pokud zůstanete u dveří č.1, a jaká je pravděpodobnost výhry,

if you switched to door #2?

pokud změníte na dveře č.2?

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