Comparing Profitability

import random
import matplotlib
import matplotlib.pyplot as plt
import time

#lower_bust = 19.00
#higher_profit = 69.00

# back to 1,000
sampleSize = 10000
startingFunds = 100000
wagerSize = 100
wagerCount = 1000


def rollDice():
    roll = random.randint(1,100)

    if roll <= 50:
        return False
    elif roll >= 51:
        return True




def dAlembert(funds,initial_wager,wager_count):#,color):
    global ROI
    global da_busts
    global da_profits
    
    value = funds
    wager = initial_wager
    wX = []
    vY = []
    currentWager = 1
    previousWager = 'win'
    previousWagerAmount = initial_wager

    while currentWager <= wager_count:
        if previousWager == 'win':
            if wager == initial_wager:
                pass
            else:
                wager -= initial_wager

            #print 'current wager:',wager,'value:',value


            if rollDice():
                value += wager
                #print 'we won! Current Value:',value
                wX.append(currentWager)
                vY.append(value)
            else:
                value -= wager 
                previousWager = 'loss'
                #print 'we lost, current value',value
                previousWagerAmount = wager
                wX.append(currentWager)
                vY.append(value)
                if value <= 0:
                    da_busts += 1
                    break
        elif previousWager == 'loss':
            wager = previousWagerAmount + initial_wager
            if (value - wager) <= 0:
                wager = value
            #print 'Lost the last wager, current wager:',wager,'value:',value
            
            if rollDice(): 
                value += wager
                #print 'we won! Current Value:',value
                previousWager = 'win'
                wX.append(currentWager)
                vY.append(value)
            else:
                value -= wager
                previousWager = 'loss'
                #print 'we lost, current value',value
                previousWagerAmount = wager
                wX.append(currentWager)
                vY.append(value)

                if value <= 0:
                    da_busts += 1
                    break

        currentWager += 1

    #plt.plot(wX,vY)

    if value > funds:
        da_profits+=1

    ROI += value



    


def multiple_bettor2(funds,initial_wager,wager_count,multiple):#,color):
    global ROI
    global multiple_busts
    global multiple_profits
    
    value = funds
    wager = initial_wager
    wX = []
    vY = []
    currentWager = 1
    previousWager = 'win'
    previousWagerAmount = initial_wager

    while currentWager <= wager_count:
        if previousWager == 'win':
            if rollDice():
                value += wager
                wX.append(currentWager)
                vY.append(value)
            else:
                value -= wager 
                previousWager = 'loss'
                previousWagerAmount = wager
                wX.append(currentWager)
                vY.append(value)
                if value <= 0:
                    multiple_busts += 1
                    break
        elif previousWager == 'loss':
            if rollDice():
                wager = previousWagerAmount * multiple
                if (value - wager) <= 0:
                    wager = value
                    
                value += wager
                wager = initial_wager
                previousWager = 'win'
                wX.append(currentWager)
                vY.append(value)
            else:
                wager = previousWagerAmount * multiple
                if (value - wager) <= 0:
                    wager = value
                value -= wager
                previousWager = 'loss'
                previousWagerAmount = wager
                wX.append(currentWager)
                vY.append(value)

                if value <= 0:
                    multiple_busts += 1
                    break

    
        currentWager += 1
    #print 'ending Value:',value 
    ROI += value

    #plt.plot(wX,vY)

    if value > funds:
        multiple_profits+=1  


daSampSize = 100000
da_busts = 0.0
da_profits = 0.0
ROI = 0

counter = 1
while counter <= daSampSize:
    #multiple_bettor2(startingFunds,wagerSize,wagerCount,2)
    dAlembert(startingFunds,wagerSize,wagerCount)
    counter += 1

print 'Total Amount Invested:', daSampSize * startingFunds
print 'Total Return:',ROI
print 'Difference:',ROI-(daSampSize * startingFunds)
print 'Bust Rate:',(da_busts/daSampSize)*100.00
print 'Profit Rate:',(da_profits/daSampSize)*100.00
		

The next tutorial: Finding best D'Alembert Multiple