Mind... blown... (1 Viewer)

[BonScot]

Check this out...

 

[kmccormick100]

Somebody brought that up on a poker show recently, had no idea how astronomically large that number was though haha

 

[BonScot]

Somebody brought that up on a poker show recently, had no idea how astronomically large that number was though haha

It’s crazy... and it’s even higher when you forget to take the jokers out and shuffle in the cut card

 

[Lemonzest]

Yeah that is pretty crazy. I never really thought about it but makes sense.

 

[RocAFella1]

What about short deck?

 

[Ethan]

“Oh you play poker!? You any good?

...

Oh wow, you count cards!”

 

[FiveThous]

That's nuts!

 

[asian bino]

This video REALLY blows my mind when he talks about emptying the ocean.....

 

[BonScot]

This video REALLY blows my mind when he talks about emptying the ocean.....

As if my mind wasn’t already blown...

 

[pltrgyst]

But re the OP link, simple odds don't guarantee uniqueness.

On a trivial but more comprehensible scale, consider the birthday paradox: Despite there being 365 or 366 days in a year, "In a room of just 23 people there's a 50-50 chance of at least two people having the same birthday. In a room of 75 there's a 99.9% chance of at least two people matching."

 

[TX_Golf_N_Poker]

But re the OP link, simple odds don't guarantee uniqueness.

On a trivial but more comprehensible scale, consider the birthday paradox: Despite there being 365 or 366 days in a year, "In a room of just 23 people there's a 50-50 chance of at least two people having the same birthday. In a room of 75 there's a 99.9% chance of at least two people matching."

Thank you. The birthday paradox was the first thing that came to mind when I read about this.

I just finished reading this article: https://brobible.com/life/article/d...ere to shuffle,means absolutely nothing to me.

So I came looking to see if this had been discussed here before. And yes, the sheer volume of unique combinations is absolutely mind blowing. But to say with any certainty that every combination you've ever held in your hands has NEVER existed in that exact order before? In the history of mankind using a standard 52 card deck? I'm not sure you can say that. Are the vast majority unique? Certainly. But every single one? I don't think so. Wish I had the math skills to make a convincing case.

 

[WedgeRock]

It's 50/50.

 

[AWenger]

Pretty amazing and mind-blowing number!

But even with the astronomical number of possible order/combinations of the cards in a 52 card deck, at the end of the day, if we're playing poker, it's much about the hands we're dealt, and there are limits to those combinations.

In hold'em with 2 cards, there are only 1,326 possible combinations of 2 cards, with 169 distinct starting hands:

• 13 pocket pairs
• 78 suited hands (i.e. AKs, AQs,...)
• 78 unsuited hands (i.e. AK, AQ,...)

 

[Forty4]

And yet shufflemaster claims to have them all programmed into the deckmate 2. I don’t know if they claim that but I read something about the program selecting a shuffle order randomly and placing the deck in that order. One would think they need every possible combination programmed. Maybe not.

 

[mattross1313]

Man it’s too early to be trying to get my head around this .... definitely coffee time!! The QI video was mad, but the second video really drives it home!
if there’s that many combos, how does the scrub donkey at my game bink his one outer e-v-e-r-y time

 

[BonScot]

Thank you. The birthday paradox was the first thing that came to mind when I read about this.

I just finished reading this article: https://brobible.com/life/article/deck-cards-total-number-order-cominations/#:~:text=If you were to shuffle,means absolutely nothing to me.

So I came looking to see if this had been discussed here before. And yes, the sheer volume of unique combinations is absolutely mind blowing. But to say with any certainty that every combination you've ever held in your hands has NEVER existed in that exact order before? In the history of mankind using a standard 52 card deck? I'm not sure you can say that. Are the vast majority unique? Certainly. But every single one? I don't think so. Wish I had the math skills to make a convincing case.

It’s all about mathematical certainty. So although you could never guarantee that two decks of cards has never been in the same order, the odds against it happening are so high that you can assume with an extremely high degree of certainty that it has never happened before.

 

[Chipenhagen]

And yet shufflemaster claims to have them all programmed into the deckmate 2. I don’t know if they claim that but I read something about the program selecting a shuffle order randomly and placing the deck in that order. One would think they need every possible combination programmed. Maybe not.

It doesn't need that at all and it would probably not be possible. It's much more feasible to randomly select an order of cards by assigning each card a (quasi) random number and sort according to the random number, or equivalent method. When the order of cards are chosen, the machine sorts the physical cards in the same order.