from random import choice
N = 1000000
def occurences(sub, string):
    return sum(1 for i in range(len(string)) if string.startswith(sub, i))
seqs = [''.join(choice(['T', 'C']) for _ in range(100)) for _ in range(N)]
counts = [(seq.count('TC'), occurences('CC',seq)) for seq in seqs]
bob_counts=sorted([x for x,y in counts])
alice_counts=sorted([y for x,y in counts])
import matplotlib.pyplot as plt
import numpy as np
from collections import Counter
bob_mean, bob_median = np.mean(bob_counts), np.median(bob_counts)
alice_mean, alice_median = np.mean(alice_counts), np.median(alice_counts)
bob_counts = Counter(bob_counts)
bob_counts_keys, bob_counts_values = list(bob_counts.keys()), list(bob_counts.values())
alice_counts = Counter(alice_counts)
alice_counts_keys, alice_counts_values = list(alice_counts.keys()), list(alice_counts.values())
label_bob = f'Bob mean: {bob_mean:.2f}, median: {bob_median:.2f}'
label_alice = f'Alice mean: {alice_mean:.2f}, median: {alice_median:.2f}'
plt.plot(bob_counts_keys, bob_counts_values, label=label_bob)
plt.plot(alice_counts_keys, alice_counts_values, label=label_alice)
plt.legend()
plt.show()