import random

class Gambler:
    def __init__(self,startingMoney,costPerTicket,payoff,successProbability):
        self.money = startingMoney
        self.cost = costPerTicket
        self.prob = successProbability
        self.payoff = payoff
        self.plays = 0
    def scratch(self):
        if self.money >= self.cost:
            self.money -= self.cost
            if random.random() <= self.prob:
                self.money += self.payoff
            self.plays += 1
            return True
        else:
            return False
    def canPlay(self):
        if self.money >= self.cost:
            return True
        else:
            return False
    def checkPlayCount(self):
        return self.plays

def simulate(startingMoney,costPerTicket,payoff,successProbability,minGamesForSuccess, trials = 10**5):
    successes = 0
    games = 0
    while games < trials:
        addict = Gambler(startingMoney,costPerTicket,payoff,successProbability)
        while addict.canPlay() and (addict.checkPlayCount() < minGamesForSuccess):
            addict.scratch()
        if addict.checkPlayCount() == minGamesForSuccess:
            successes += 1
        games += 1
    return successes/games

print(simulate(100,5,10,.2,30))