2,560
A suit contains 13 cards of the same kind. 4 cards may be choosen out of 13 in 13C4 (715) ways. There are 4 suits. Therefore, the number of possible hands for getting 4 cards of the same suit is 4 x 13C4 = 4 x 715 = 2,860.
It is not possible to have 3 pair in a game of Texas hold'em because you can only use 5 cards out of 7 and 3 pair uses 6. A straight of 5 cards is a valid hand. The full list of Poker Hand Rankings contains 10 hands.
In poker, a low straight is ranked below other hands like a straight, flush, full house, and so on. A low straight consists of five consecutive cards of different suits, with the lowest possible straight being A-2-3-4-5. It is considered one of the weaker hands in the game, with higher-ranking hands like a flush or a full house beating it.
All poker hands consist of five cards. In Texas Holdem, you can use two, one or none from your hand and three, four or five of the community cards (the "board"). Because all hands are five cards, it is not possible to have a four-card run, or straight. It counts for nothing.
If the cards are all different then there are 13C7 = 1716 different hands.
13 x 12 x 11 x 49 x 48 13 x 12 x 11 because there are 13 possible cards for any given suit, then 12 more of the same suit, then 11 more for the same suit. At this point, you have 49 cards left, then 48. So there are 4,036,032 possible hands like that.
4(13c4)(39c1) = (4)(715)(39)=1,11,540
In poker with 5 cards, the ranking of hands from highest to lowest is: Royal Flush Straight Flush Four of a Kind Full House Flush Straight Three of a Kind Two Pair One Pair High Card
Asssuming you mean in a 13 card hand, to get exactly nine cards in a suit, there are 4 x C(13,9) x C(39,4) possible hands out of C(52,13) total hands. That is 4 x 58,809,465 / 635,013,559,600 = 0.000370445412454, or about 1 in 2700.
The odds of getting a small straight in Texas Hold'em are approximately 0.26, or 1 in 384 hands.
The probability of getting a low straight in a game of poker is approximately 0.39, or 1 in 256 hands.
In poker, a straight is a hand where the cards are in sequential order, such as 5-6-7-8-9. A straight ranks higher than three of a kind and lower than a flush. The highest straight possible is a Royal Flush, which is a straight from 10 to Ace of the same suit and is the highest-ranking hand in poker.