need help with my first hangman program (didn't and don't want to look to solution before this one works)

import random


def pick_state():
#returns a state

    state_list = "Alabama, Alaska, Arizona, Arkansas, California, Colorado, Connecticut, Delaware, District of Columbia, Florida, Georgia, Hawaii, Idaho, Illinois, Indiana, Iowa, Kansas, Kentucky, Louisiana, Maine, Maryland, Massachusetts, Michigan, Minnesota, Mississippi, Missouri, Montana, Nebraska, Nevada, New Hampshire, New Jersey, New Mexico, New York, North Carolina, North Dakota, Ohio, Oklahoma, Oregon, Pennsylvania, Rhode Island, South Carolina, South Dakota, Tennessee, Texas, Utah, Vermont, Virginia, Washington, West Virginia, Wisconsin, Wyoming".split(", ")
    return state_list[random.randint(0,len(state_list)-1)]


def guess():
    letter = input("guess a letter: ")
    global guessed_letters = global guessed_letters + letter

    if letter in secret_state and letter not in guessed_state:
      print("good")
    else:
      print("wrong")

    for alpha in "azertyuiopqsdfghjklmwxcvbn":
                   if alpha not in guessed_letters:
                       secret_state = secret_state.replace(alpha, "_")

return secret_state




def game():
  global secret_state = pick_state()
  global guessed_letters = ""
  global guessed_state = "_" * len(secret_state)


  while True:
      global guessed_state = guess()
      print(guessed_state)
            if guessed_state == secret_state:
                 break









game()