CODEWITHSUNDEEP
python
Glinting Orc
Glinting Orc

Reputation: 23

Pairs probability in Poker

first time using this platform so hope I'm doing it the right way. I'm currently in high school and we have this project with this description: Calculate the probability that when you deal 5 cards (without repeating cards) of poker you have two pairs. I have already done the programming with some notes I took from class for the five cards:

import random

def generatedeck():
    deck = []
    for i in range(1,14):
        deck.extend([i]*4)
    return deck

def main():
    seed = int(input())
    random.seed(seed)
    for e in range(1000):
        deck = generatedeck()
        hand = []
    
        for i in range(5): 
            pos = random.randint(0,len(deck)-1) 
            card = deck.pop(pos) 
            hand.append(card) 

    print(hand)

if __name__=='__main__':
    main()

The thing is, I really don't know how to proceed to calculate the probability.

We do have some notes/examples for this homework.

Let me know what you think of the code in general, and if you think there is a better way to have the cards dealt. Thank you in advance for all your help!

Upvotes: 1

Views: 258

Answers (1)

PotSkill
PotSkill

Reputation: 217

I would just like to preface that this answer is to get the experimental probability of a two pair occurring.

How I have fixed it is that after the five card hand is dealt, I loop through the hand and use list.count to return how many of those cards are in a deck. I check if that number is equal to two. This means that there is one pair. Then inside the if statement that find the first pair, I loop through the array again and find if there is a pair that is not equal to the first pair. If this is true, meaning that there is a two pair in that hand, I add to a variable that keeps track of how many two pairs there has been in 1000 iterations. After iterating through 1000 times I divide the number of two pairs by 1000 and then the experimental probability is reached. The code looks as follows:

import random

def generatedeck():
    deck = []
    for i in range(1,14):
        deck.extend([i]*4)
    return deck

def main():
    seed = int(input("Enter a seed for Random: "))
    random.seed(seed)
    
    NumTwoPairs = 0
    num = 0
    for e in range(1000):
        deck = generatedeck()
        hand = []
    
        for i in range(5): 
            pos = random.randint(0,len(deck)-1) 
            card = deck.pop(pos) 
            hand.append(card)
        
        for elem in hand: #checking for the two pair
            if hand.count(elem) == 2:
                for el in hand:
                    if hand.count(el) == 2 and el != elem:
                        NumTwoPairs += 1
                        #print(hand)
                        break
                break
    
    return NumTwoPairs
    #print(hand)

print(main()/1000)

For the seed of 1 the returned output is 0.049

Upvotes: 1

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