**Python Puzzles**

If you shuffle two separate decks of cards, what is the probability of the same card appearing in the exact same position in the two separate decks?

Approximately 36% of the time the two decks will have zero matching cards in the same position; 64% of the time it will have at least one matching card. When I run the simulation 1 million times, the most matches I get is 9.

import random from collections import Counter import matplotlib.pyplot as plt loop = 1_000_000 result_total = [] # ctreate a deck of cards deck_of_cards1 = list(range(1,53)) deck_of_cards2 = list(range(1,53)) for _ in range(loop): random.shuffle(deck_of_cards1) random.shuffle(deck_of_cards2) result = [] for d1, d2 in zip(deck_of_cards1, deck_of_cards2): if d1 == d2: result.append(1) result_total.append(result.count(1)) result_total.sort() keys = list(Counter(result_total).keys()) values = list(Counter(result_total).values()) values_pct = [] # determine percent for x in values: values_pct.append(x/loop) #create a bar chart plt.bar(keys,values_pct) plt.ylabel("Percentage") plt.xlabel("# of Card Matches") plt.title("Probability") plt.xticks(keys) plt.show() values_pct.sort(reverse=True) print(values_pct)