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The plt render should be moved back one indentation, since you're really only interested in the final result and it saves you 5000 unnecessary renders
def monte_carlo(n):
results = 0
for i in range(n):
flip_result = coin_flip()
results = results + flip_result
prob_value = results/(i+1)
list1.append(prob_value)
plt.axhline(y=0.5, color ='r', linestyle='-')
plt.xlabel("Iterations")
plt.ylabel("Probability")
plt.plot(list1)
return results/n
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