What are the odds of a deck of cards being in the same order?

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.

What is the chance of shuffling a deck of 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 of drawing 2 cards from a randomly shuffled deck and getting any pair?

78/2,652
We know from above that there are 2,652 possible ways to draw two cards out of the deck, so the probability that a randomly drawn set of two cards is a pair is 78/2,652, or 0.0294, or 2.94\%.

Is shuffling cards truly random?

Most people would not consider this random, but it is just as likely to appear as any other specific arrangement of cards (very unlikely). When the values are less than 0.5, the deck is considered randomly shuffled. More simply, if you can guess too many cards in a shuffled deck, then the deck is not well shuffled.

How many possibilities are there in a deck of cards?

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.

How many possible 2 cards are in a deck?

There are 13 ranks, each with 4 suits (spades, hearts, clubs, diamonds). 13 4 = 52. Like any of the other ranks, there are exactly 4 twos. In a standard deck of playings cards you will have four 2’s.

When drawing 2 cards in a row from a standard deck of playing cards What is the probability of getting 2 aces *?

1/221
WITHOUT REPLACEMENT: If you draw two cards from the deck without replacement, what is the probability that they will both be aces? P(AA) = (4/52)(3/51) = 1/221.