# What is the probability of shuffling cards the same way twice?

## What is the probability of shuffling cards the same way twice?

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.

What is the probability that both cards have the same rank?

The “first” card doesn’t matter, as only the second card has to have the same rank. After removing one card, there are 51 cards left in the deck. 3 of them have the same rank as the card that was removed. Hence, the probability of getting dealt a pair is 3/51 = 1/17.

What is the probability of shuffling cards?

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.

### How many cards in a deck have the same rank?

There are 13 different ranks (A-10, J, Q, and K). For each rank, there are four cards (clubs, spades, hearts, diamonds) In order for both cards to be the same rank, the second card drawn must be one of the remaining 3 cards that have the same rank as the first.

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.

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## 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].

What is the probability of a jack in a deck of cards?

Find the probability of: In a playing card there are 52 cards. Number of favourable outcomes i.e. ‘2’ of spades is 1 out of 52 cards. Number of favourable outcomes i.e. ‘a jack’ is 4 out of 52 cards.