篮球比赛蒙特卡罗模拟问题

Question

我的代码是用来模拟篮球比赛的，它模拟一场30秒落后3分的比赛。
球员必须选择是投三分球，这需要更多的时间打成平局并重新获得控球权，还是快速投两分，速度更快，剩下的时间通过犯规（对手罚两个罚球，我们重新获得控球权）来重新获得控球权，而对方不能罚罚球。这场比赛被模拟了大约10000次，看看哪一场比赛的获胜率最高。问题是我的“have-goverage”是真/假（布尔值），但当我在函数中运行它时，它会作为int返回。此外，“pointsdifference”在每次运行代码时总是相同的

首先，为什么我的布尔变量作为整数返回？ 其次，获胜率应该有所不同，因为这是一个随机实验，但只有两个结果。如何调整此代码以使我的模拟产生随机结果

import numpy as np

trials=10000
threeptpercentage=34.6
midrangepercentage=49.5
opposingmidrangepercentage=55.4
opponentfreethrowpercentage=60.6
timetoshoot2=4
timetoshoot3=7
timetofoul=2
offensereboundpercent=66.4
ftreboundpercent=64.3
pointsdown=3
timeleft=30
haveposession=True
wins3=0
wins2=0

wintake3=[]
wintake2=[]

def foul(timeleft,pointsdown,haveposession):
    #if we don't have the posession, foul to regain posession
    timeleft=timeleft-timetofoul
    #opponent takes 2 free throw
    if np.random.randint(1,101)<=opponentfreethrowpercentage:
        pointsdown=pointsdown+1
    if np.random.randint(1,101)<=opponentfreethrowpercentage:
        pointsdown=pointsdown+1
        haveposession=True
    #opponent misses the freethrow and we rebound it
    else: 
        if np.random.randint(1,101)<=ftreboundpercent:
            haveposession=True
        elif np.random.randint(1,101)<=offensereboundpercent:
            pointsdown=pointsdown+2
            haveposession=True
    return haveposession,timeleft,pointsdown

def take3(timeleft,pointsdown,haveposession):
    timeleft = timeleft-timetoshoot3
    #do we make the shot?
    if np.random.randint(1,101)<=threeptpercentage:
        pointsdown=pointsdown-3
        haveposession=False            
        #can we rebound?
    else:
        if np.random.randint(1,101)<=ftreboundpercent:
            haveposession=False
            pointsdown=pointsdown-2
        elif np.random.randint(1,101)<=opposingmidrangepercentage:
            pointsdown=pointsdown+2
            haveposession=True

    return haveposession,timeleft,pointsdown            
#attempt to make a 2 and hope for another posession
def take2(timeleft,pointsdown,haveposession):
    #if we are down by 3 or more, take the 2 quickly. if we are down by 2 or less, we tun down the clock
    timeleft = timeleft-timetoshoot2
        #do we make the shot?
    if np.random.randint(1,101)<=midrangepercentage:
        pointsdown=pointsdown-2
        haveposession=False

        #can the opponent rebound?
    else:
        if np.random.randint(1,101)<=ftreboundpercent:
            haveposession=False
            pointsdown=pointsdown-2
    return haveposession,timeleft,pointsdown

for i in range(1,trials+1):     
    while timeleft>0:
        if haveposession==True:
            timeleft,pointsdown,haveposession=take3(timeleft,pointsdown,haveposession)
        else:
            timeleft,pointsdown,haveposession=foul(timeleft,pointsdown,haveposession)
        if pointsdown<0:
            wintake3.append(wins3)

    while timeleft>0:
        if haveposession==True:
            timeleft,pointsdown,haveposession=take2(timeleft,pointsdown,haveposession)
        else:
        timeleft,pointsdown,haveposession=foul(timeleft,pointsdown,haveposession)
    if pointsdown<0:
        wintake2.append(wins2)


winrate3=len(wintake3)*100/trials
winrate2=len(wintake2)*100/trials
print('Winrate if shoot a 3-pointer =',winrate3,'%')
print('Winrate if shoot a 2-pointer =',winrate2,'%')