I am familiarizing my self with Monte Carlo simulations and have played around with the following code. It is a gambling dice rolling game with an increased payout for doubles. It uses RNG and pyplot. The for loop, print statements, and basic math operations are all working as desired (I think), but the graph gets constructed and no information is added. I have some coding experience through school (thus I got this far) but am new to python so would appreciate any help!
I am hoping to make 1 "live updating graph" that looks like this.
Code shown below:
#dice game: rolling 2 die 100 times, hoping for doubles which give 4x payout
#import time
#required packages:
#for graphing
import matplotlib.pyplot as plt
#for random number generation
import random
#die rolling function
def roll_dice():
die_1 = random.randint(1,6)
die_2 = random.randint(1,6)
#same number check
if die_1 == die_2:
same_num = True
print(f"dice are same value of {die_1}")
else:
same_num = False
print(f"dice are not the same. die 1 is {die_1} and die 2 is {die_2}")
return same_num
#roll_dice()
#to repeat the rolls of each die
#need the following inputs
num_simulations = 100
max_num_rolls = 10
#tracking?
win_probability = []
end_balance = []
#looping simulation
for i in range(num_simulations):
#setting inital values for each variable
balance = 50
num_rolls = 0
num_wins = 0
bet = 1.00
payout_factor = 4
#run until hitting 1000
for num_rolls in range(max_num_rolls):
if roll_dice():
balance=balance+payout_factor*bet
num_wins += 1
else:
balance=balance-bet
print(f"in {max_num_rolls} rolls, you won {num_wins} times")
print(f"the balance after simulation {i} of {max_num_rolls} rolls was {balance}")
print(f"end of simulation {i}")
plt.plot(max_num_rolls, balance)
plt.xlabel('number of 2 dice rolls')
plt.ylabel('balance $')
legend_entries = []
legend_entries.append('simulation '+str(num_simulations))
plt.show()
