+0

# Interesting Probability Question

+2
35
2
+541

I love card games, and I was wondering about probabilities in a few poker games.

Could someone make a table with the chances of getting a given combination with different numbers of cards? (Chance of having a full house, for example, with 7 cards)

Remember:

• A deck has 52 cards: 13 values (2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A) and 4 suits (Diamonds, Hearts, Clubs, Spades)
• Royal Flush = A-K-Q-J-10 same suit
• Straight Flush = 5 that count as a straight and a flush at the same time.
• 4-Of-A-Kind = 4 cards of the same value
• Full House = 1 pair, 1 3-of-a-kind
• Flush = 5 cards of the same suit
• Straight = 5 sequential cards (i.e. 2-3-4-5-6. A-2-3-4-5, 10-J-Q-K-A)
• 3-of-a-kind = 3 cards of the same value
• 2 pair = 2 groups of 2 cards with the same value
• 1 pair = 2 cards with the same value, nothing else
• High Card = If you have none of the above ()

* Worst thing you can get: 2-3-4-5-7 with the everything but the 7 being the same suit

helperid1839321  Feb 13, 2018

#2
+11440
+2

I'm sure I am not going to re-invent THAT wheel.!!   .... here is a place to get you started:

https://en.wikipedia.org/wiki/Poker_probability

ElectricPavlov  Feb 13, 2018
Sort:

#1
+2

I know absolutely NOTHING about playing cards, but go to Wolfram/Alpha and enter each hand and it will give you the probability such as "Royal Flush" for 7-card hand. See here:

https://www.wolframalpha.com/input/?i=52+playing+cards,++7-+card+Royal+Flush

Guest Feb 13, 2018
#2
+11440
+2