What are the odds of getting three of a kind in Three Card Poker?

Answer 1

This highly depends on exactly which Poker variant is being played.

In a simple draw of 5 cards from a deck there are 624 ways to get four of a kind. This is calculated by taking the 13 quads of each rank multiplied by the number of extra cards which can be the fifth card in the hand. There are a total of 2598960 5 card hands, so four of a kind has a chance of 624 / 2598960 = 0.024%

In Texas Hold'em there is a 0.15% chance for a player to get four of a kind. The chance is increased since there are now 7 cards rather than 5 from which to form a hand.

Answer 2

I don't know the odds. But I know it's possible. 1: 2 people are at my table, they both get black jack and I turn over a 10. I check the card and I have an ace. 3 black jacks in a row. 2: I dealt 3 black jacks to the same person in 3 consecutive hands.

Answer 3

It depends on the number of decks that are being used. If it is a single deck game, it's impossible without shuffling the deck. In a multi-deck game like 8 decks, it's not all that unusual. You figure you have (32) sevens in an 8 deck shoe. There are a total of 416 cards. That would be 6 out of 32 out of 416.

If you had a shoe that was not shuffled properly after a round of play, it would be much easier to have this happen. It would also be very easy to happen if the cards were fresh because they come in order. Any time you see cards in blackjack coming out in multiples, it means the deck was not shuffled properly. These "clumps" are advantageous for the casino, and not advantageous for the player.

Answer 4

The odds are 54912/7796880.

Answer 5

a bit more than 2/10 of 1%. or .0023