import random
class Gambler():
    def __init__(self, money):
        self.money = money
    def increaseMoney(self):
        self.money = self.money + 1
    def decreaseMoney(self):
        self.money = self.money - 1
    def setMoney(self, money):
        self.money = money



aMoney = int(input("First Gambler starting money:"))
bMoney = int(input("Second Gambler starting money:"))

aWinProb = aMoney/(aMoney+bMoney)
bWinProb = bMoney/(aMoney+bMoney)

print("Player A Expected Winning Probability {}".format(aWinProb))
print("Player B Expected Winning Probability {}".format(bWinProb))

A = Gambler(aMoney)
B = Gambler(bMoney)

aWins = 0
bWins = 0
iterLim = 10000

for i in range(0,iterLim):
    while(True):
        num = random.random()
        if num < 0.5:
            A.decreaseMoney()
            B.increaseMoney()
        if num > 0.5:
            A.increaseMoney()
            B.decreaseMoney()
        if A.money == 0:
            bWins = bWins + 1
            A.setMoney(aMoney)
            B.setMoney(bMoney)
            break
        if B.money == 0:
            aWins = aWins + 1
            A.setMoney(aMoney)
            B.setMoney(bMoney)
            break



print("Player A Winning Probability (Exp) = {}".format(aWins/iterLim))
print("Player B Winning Probability (Exp) = {}".format(bWins/iterLim))