Jonathan S asked:
What’s the most probable kind of 5-card hand in a 7-card poker game, like stud or hold’em? (no pair, one pair, two pair, 3-of-a-kind, etc.) What’s the 2nd most probable?
What’s the most probable kind of 5-card hand in a 7-card poker game, like stud or hold’em? (no pair, one pair, two pair, 3-of-a-kind, etc.) What’s the 2nd most probable?
Extra credit (whatever that means) if you give the actual probabilities. (Calculations aren’t necessary, so don’t hurt yourself.)
Remember, it’s a 7-card hand (that is, best 5-card hand out of 7 cards), so the probablilities are different than a normal 5-card hand.
Kevin
Tags: Card Game, Card Poker Game, Extra Credit
The percentages are here:
about 50% chance of getting less than 2 pair a bit more than 42% are pairs.
Your answer is there.
Hold’em is a 7 card game, the odds are roughly as listed by the previous poster.
Dr Math has the same numbers:
The most probable hand is no pair. The next probable is one pair.
Here’s the entire list for you for 7 card games. The standard poker hands are ranked based on the probability of their being dealt pat in 5 cards from a full 52-card deck. Howerver, once 7 are being dealt the numbers are slightly different.
Hand - Number Ways to be Dealt
==== - ====================
Straight Flush = 41,584
Four of a kind = 224,848
Full House = 3,473,184
Flush = 4,047,644
Straight = 6,180,020
Three of a kind = 6,461,620
High Card = 23,294,460
Two Pair = 31,433,400
One Pair = 58,627,800
As you can see from this chart, in seven card games, the most likely hand to make is one pair. Further it is more likely to have either one pair or two pair than it is to have only a high card hand. From Three of a kind and up, the likelihood holds true to the hand ranking and you will see the most of three of a kind, and the least of straight flushes.