import matplotlib.pyplot as plt
import numpy as np
import pandas as pd
from random import choice as RC
import seaborn as sns
def baseballLeague(g, t) :
"""
Results of baseball League.
Parameters:
g - Games played between two teams.
t - number of teams.
Returns:
results - dictionary of [wins, losses] for each team.
"""
results = {}
for i in range(1, t+1) :
results[i] = 0
for a in range(1, t) :
for b in range(a+1, t+1) :
for j in range(g) :
win = RC([a, b])
if win == a :
results[a] += 1
if win == b :
results[b] += 1
return(results)
def clearAx(ax):
"""
Clear axes.
Parameters:
ax - Current ax.
Returns:
ax - Updated ax.
"""
ax.spines["top"].set_visible(False)
ax.spines["right"].set_visible(False)
ax.spines["bottom"].set_visible(False)
ax.spines["left"].set_visible(False)
ax.set_xticks([])
ax.set_yticks([])
return(ax)
j = 10000000
total = 0
for i in range(j):
data = baseballLeague(162, 2)
total += max(data.values())
print(total/j)
86.0662559
from math import comb as MC
81 + 81*MC(162, 81)/2**162
86.06987637833755
j = 10000000
total = 0
for i in range(j):
data = baseballLeague(5, 30)
total += max(data.values())
print(total/j)
84.9812503