Basic Card Odds and Probabilities

For something that contains only 52 cards, the sheer range of activities, games and mathematical curiosities that surrounds the humble deck is mind-blowing! If you’re not terribly up on the probabilities and odds that comes with a deck of playing cards, don’t worry, just have a look at this handy infographic courtesy of one of the leading online casino UK. Starting with the small odds, if you’re being dealt a single card, the chance that it will be any given card you name is about 1.9%.

It’s not supremely likely but you have a chance of getting it right 1 in ever 52 times. If you’re guessing the suit then its 1 in 4 and guessing the rank is 1 in 13. Let’s get a little more extreme, let’s say you’re playing Texas hold ‘em and holding out for a Royal Flush. The odds of getting one is about 30,939:1.

And that’s not even the longest odds in Poker if you’re playing a 5 card game rather than 7, the odds shrink to 649,739:1. So, definitely possible, but extremely unlikely. But even that pales in comparison to the next statistic. Due to the number of cards in the deck, the total number of possible combinations when shuffling is 80,658,175,170,943,878,571,660,636,856,403,766,975,289,505,440, 883,277,824,000,000,000,000. Which makes the odds of shuffling a deck the same way twice, that to :1. So… pretty unlikely.


Card Odds