Poker Hands

In the card game poker, a hand consists of five cards and are ranked, from lowest to highest, in the following way:
High Card: Highest value card.
One Pair: Two cards of the same value.
Two Pairs: Two different pairs.
Three of a Kind: Three cards of the same value.
Straight: All cards are consecutive values.
Flush: All cards of the same suit.
Full House: Three of a kind and a pair.
Four of a Kind: Four cards of the same value.
Straight Flush: All cards are consecutive values of same suit.
Royal Flush: Ten, Jack, Queen, King, Ace, in same suit.
The cards are valued in the order:2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, Ace.
If two players have the same ranked hands then the rank made up of the highest value wins; for example, a pair of eights beats a pair of fives (see example 1 below). But if two ranks tie, for example, both players have a pair of queens, then highest cards in each hand are compared (see example 4 below); if the highest cards tie then the next highest cards are compared, and so on.
Consider the following five hands dealt to two players:

Hand Player 1 Player 2 Winner
1 5H 5C 6S 7S KDPair of Fives 2C 3S 8S 8D TDPair of Eights Player 2
2 5D 8C 9S JS ACHighest card Ace 2C 5C 7D 8S QHHighest card Queen Player 1
3 2D 9C AS AH ACThree Aces 3D 6D 7D TD QDFlush with Diamonds Player 2
4 4D 6S 9H QH QCPair of QueensHighest card Nine 3D 6D 7H QD QSPair of QueensHighest card Seven Player 1
5 2H 2D 4C 4D 4SFull HouseWith Three Fours 3C 3D 3S 9S 9DFull Housewith Three Threes Player 1

The file, poker.txt, contains one-thousand random hands dealt to two players. Each line of the file contains ten cards (separated by a single space): the first five are Player 1’s cards and the last five are Player 2’s cards. You can assume that all hands are valid (no invalid characters or repeated cards), each player’s hand is in no specific order, and in each hand there is a clear winner.
How many hands does Player 1 win?

To solve this problem, we can read the contents of the “poker.txt” file, analyze each hand, determine the winner, and count the number of wins for Player 1. We can use Python to implement this solution. Below is the code that addresses this problem:

“`python
def evaluate_hand(hand):
values = [‘2’, ‘3’, ‘4’, ‘5’, ‘6’, ‘7’, ‘8’, ‘9’, ‘T’, ‘J’, ‘Q’, ‘K’, ‘A’]
ranks = [‘High Card’, ‘One Pair’, ‘Two Pairs’, ‘Three of a Kind’, ‘Straight’, ‘Flush’,
‘Full House’, ‘Four of a Kind’, ‘Straight Flush’, ‘Royal Flush’]

# Count the frequency of each card value
cards = {}
for card in hand:
value = card[0]
if value in cards:
cards[value] += 1
else:
cards[value] = 1

# Check for Straight and Flush
is_flush = all(card[1] == hand[0][1] for card in hand)
is_straight = all(cards[value] == 1 for value in values) and values.index(hand[0][0]) – values.index(hand[4][0]) == 4

# Check for other hand ranks
if is_straight and is_flush:
hand_rank = 8 # Straight Flush
elif is_flush:
hand_rank = 5 # Flush
elif is_straight:
hand_rank = 4 # Straight
else:
frequency_values = sorted(cards.values(), reverse=True)
if frequency_values == [4, 1]:
hand_rank = 7 # Four of a Kind
elif frequency_values == [3, 2]:
hand_rank = 6 # Full House
elif frequency_values == [3, 1, 1]:
hand_rank = 3 # Three of a Kind
elif frequency_values == [2, 2, 1]:
hand_rank = 2 # Two Pairs
elif frequency_values == [2, 1, 1, 1]:
hand_rank = 1 # One Pair
else:
hand_rank = 0 # High Card

return hand_rank

def find_winner(player1_hand, player2_hand):
player1_rank = evaluate_hand(player1_hand)
player2_rank = evaluate_hand(player2_hand)

# Compare hand ranks
if player1_rank > player2_rank:
return 1 # Player 1 wins
elif player1_rank < player2_rank: return 2 # Player 2 wins else: # If hand ranks are equal, compare card values from highest to lowest player1_values = sorted([card[0] for card in player1_hand], reverse=True) player2_values = sorted([card[0] for card in player2_hand], reverse=True) for i in range(5): if player1_values[i] > player2_values[i]:
return 1 # Player 1 wins
elif player1_values[i] < player2_values[i]: return 2 # Player 2 wins return 0 # Draw (should not occur in valid hands) def count_player1_wins(filename): player1_wins = 0 # Read the file and process each hand with open(filename, 'r') as file: for line in file: hand = line.strip().split() player1_hand = hand[:5] player2_hand = hand[5:] winner = find_winner(player1_hand, player2_hand) if winner == 1: player1_wins += 1 return player1_wins # Main program filename = "poker.txt" num_player1_wins = count_player1_wins(filename) print("Number of hands Player 1 wins:", num_player1_wins) ``` Make sure to save the contents of the file as "poker.txt" in the same directory as your Python script. The code reads each line from the file, splits it into two separate hands (Player 1 and Player 2), evaluates each hand to determine the winner using the `evaluate_hand()` function, and keeps track of the number of wins for Player 1. Finally, it prints the total number of wins for Player 1.

More Answers:
Prime Digit Replacements
Permuted Multiples
Combinatoric Selections

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