Not Homework Answers

import random

# 14.7106 rolls to get all 6 numbers with fair dice
# 25.221 rolls to get all 6 numbers with unfair dice

def fairdice():
    
    trials = int(input("Enter number of trials: "))
    total = 0
    
    for i in range(trials):
        total += fairroll()
        avg = total / trials
        
    print(avg)
    
def fairroll():
    
    rolls = 0
    one = False
    two = False
    three = False
    four = False
    five = False
    six = False
    
    while True:
        
        if one == True and two == True and three == True and four == True and five == True and six == True:
            return rolls
            break
        else:
            var = random.randint(1, 6)
            rolls += 1
            
            if var == 1:
                one = True
            elif var == 2:
                two = True
            elif var == 3:
                three = True
            elif var == 4:
                four = True
            elif var == 5:
                five = True
            elif var == 6:
                six = True
            else:
                None

def unfairdice():
    trials = int(input("Enter number of trials: "))
    total = 0
    for i in range(trials):
        total += unfairroll()
        avg = total / trials
    print(avg)
    
def unfairroll():
    
    rolls = 0
    one = False
    two = False
    three = False
    four = False
    five = False
    six = False
    
    while True:
        
        if one == True and two == True and three == True and four == True and five == True and six == True:
            return rolls
            break
        else:
            var = random.random()
            rolls += 1
            
            if var <= .30 and var >= 0:
                one = True
            elif var <= .55 and var > .30:
                two = True
            elif var <= .70 and var > .55:
                three = True
            elif var <= .85 and var > .70:
                four = True
            elif var <= .95 and var > .85:
                five = True
            elif var < 1 and var > .95:
                six = True
            else:
                None
    
dfa = {0:{'0':0, '1':1},
       1:{'0':2, '1':0},
       2:{'0':1, '1':2}}

def accepts(s):
    state = 0
    for c in s:
        state = dfa[state][c]
    return state in {0}

# 10010110101001010110100101011010 - Accepted
# 1001011010100101010101010101010100010100101010010010100101011010 - Rejected

def calc():
    fcn = str(input("Enter a function in terms of x: "))
    a = int(input("Enter A: "))
    b = int(input("Enter B: "))
    n = 100
    dx = (b - a)/n
    result = 0.5*fcn(a) + sum([fcn(a + i*dx) for i in range(1, n)]) + 0.5*f(b)
    result *= dx
    return result