Stimulate rolling dice game - python-3.x

Question

I want to write a program that stimulate a game as follows:
A random number between 1 and 2 is generated to determine which player
starts the game (player1 or player2).
The player who starts the game will now throw a dice repeatedly adding
the points scored in each throwing until either the player collects 20
or more points or until the player gets a 1 point score.
If the player collects 20 or more points, then the score is added to
the total points of the player and it becomes the other player's turn.
If the player gets a 1 point score before reaching 20 or more points,
then the player loses his turn without getting any points and it
becomes the other player's turn.
The other player now starts to play and plays with the same rules as
described above.
Once the second player ends his turn (either after reaching 20 or more
points or loses the his turn), then it becomes the first player's turn
and the game continues.
The first player who reaches a total score of 1000 points wins the
game.
My program works well, but are there any ways that I can solve the problem by defining only Function play without changing its parameters? Can I make Function turnPoint be a part of Function play without using any loops?
import random
def turnPoint(playerTurnPoint):
if (playerTurnPoint >= 20):
return playerTurnPoint
else:
p = random.randint(1, 6)
print(p, end = " ")
if (p == 1):
return 0
else:
playerTurnPoint += p
return turnPoint(playerTurnPoint)
def play(player1Total, player2Total, currentPlayer):
if (player1Total >= 1000):
print("Player 1 won.")
return None
elif (player2Total >= 1000):
print("Player 2 won.")
return None
else:
playerTurnPoint = 0
if (currentPlayer == 1):
print("Player 1 playing...")
print("Points obtained in this turn: ", end = " ")
playerTurnPoint = turnPoint(0)
print()
print("Turn total points = ", playerTurnPoint)
player1Total += playerTurnPoint
print("Player 1 total points = ", player1Total)
play(player1Total, player2Total, 2)
else:
print("PLayer 2 playing...")
print("Points obtained in this turn:", end = " ")
playerTurnPoint = turnPoint(0)
print()
print("Turn total points = ", playerTurnPoint)
player2Total += playerTurnPoint
print("Player 2 total points = ", player2Total)
play(player1Total, player2Total, 1)
#Main Program
player1Total = 0
player2Total = 0
currentPlayer = random.randint(1, 2)
print("Starting the Game")
print("=================")
play(player1Total, player2Total, currentPlayer)