In poker, the first person to be dealt an ace gets the role of dealer. Is the probability of being dealt the first ace equal for all players?
Create a simulation to find out.
Running a simulation we find that the first person being dealt a card has a slightly higher percentage of being dealt the first ace.
After running 100,000 simulations, I get a 28% probability of the first person receiving the first ace.
import matplotlib.pyplot as plt import random from collections import Counter result =  loop = 100_000 for _ in range(loop): #assume cards 1,2,3,4 are Aces deck = list(range(1,53)) random.shuffle(deck) #i represents the player, assuming there are 4 players i = 1 #if the card is an ace, append the player (i) it was dealt to for x in deck: if x < 5: result.append(i) i = 1 break else: i +=1 #set i to player 1 if i > 4: i = 1 # equals to list(set(words)) keys = list(Counter(result).keys()) # counts the elements' frequency values = list(Counter(result).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("Player") plt.title("Probability of Drawing an Ace") plt.xticks(keys) plt.show() values_pct.sort(reverse=True) print(values_pct)