What is the probability of shuffling cards into the same order?

Asked by: Chris Nicolson, Isle of Skye If you truly randomise the deck, the chances of the cards ending up in perfect order – spades, then hearts, diamonds and clubs – are around 1 in 10 to the power 68 (or 1 followed by 68 zeros). That’s a huge number, roughly equal to the number of atoms in our galaxy.

Can you shuffle a deck of cards the same?

The chances that anyone has ever shuffled a pack of cards (fairly) in the same way twice in the history of the world, or ever will again, are infinitesimally small. The number of possible ways to order a pack of 52 cards is ’52! ‘ (“52 factorial”) which means multiplying 52 by 51 by 50… all the way down to 1.

Can you shuffle a deck of cards back into order?

No, it’s not true. If the shuffle is good it’s highly unlikely the precise order of the deck has ever been realized before, but not impossible. There are , or 8 followed by 67 zeroes, ways to arrange 52 cards.

How many combinations of deck shuffling are there?

If you were to shuffle a deck of 52 cards and lay them out the possible order combinations are practically endless. The total number of combinations is a factorial of 52, or 52!, which translates to 8.06e+67, a number that means absolutely nothing to me.

What is the chance of getting the same deck of cards?

So the chances are 1/52! because, on the second shuffle, there’s exactly one order that’s exactly the same. The number of ways that a deck of cards can be arranged is 52 x 51 x 50 x 49 x 48 … 3 x 2 x 1.

What’s the chance of guessing a card in a deck?

Picking cards If you choose a card at random, there are 52 possibilities for what you might get. So, if a magician were to simply guess what card you have picked, there would be a chance of only 1/52 they guess it correctly, or a little less than 2\%.

What are the odds of shuffling a deck of cards perfectly?

It depends on how you shuffle them and the cards’ order when you start. If you truly randomise the deck, the chances of the cards ending up in perfect order – spades, then hearts, diamonds and clubs – are around 1 in 10 to the power 68 (or 1 followed by 68 zeros).

What is the probability of getting the same order after shuffle?

That’s the answer if, by “shuffling” you mean some process of riffle, overhand, corgi, etc. continued long enough to fully randomize the deck. If you mean what’s the probability of getting the same order of cards after ONE riffle shuffle, the probability is exactly zero.

What is the probability of getting the same order of cards?

If you mean what’s the probability of getting the same order of cards after ONE riffle shuffle, the probability is exactly zero. As others have said, in theory it is 1 in 52! which is about [math]10^{68}[/math].

How many shuffles in a row can you randomize a deck?

It doesn’t really matter whether that ordering was previously achieved or not, other than to point out that if you are talking about two shuffles in a row, we will assume that your shuffles are adequate enough to actually randomize the deck. In order to calculate the answer, we need to know how many ways there are to shuffle a deck of cards.