>>>>NUMBER_TO_REACH = 20
>>>>MAX_CHOICE = 9
>>>>
>>>>Player 1 will lose.
>>>
>>>Player 1 says 9 and win. In this game player one will always win as long as number is greate than 11.
>>In this example the MAX_CHOICE is the highest number the player can choose so 9 instead of 11 is the max.
>>
>>1 says 9
>>2 says 10
>>
>>Now whatever player 1 says
>>2 says 20 and wins.
>>
>>1 says 19
>>2 says 20 and wins.
>
>The player can say any number from one to 10, 10 included. Otherwise you would be right.

I changed the game a little so that you could change the MAX_CHOICE. In your game it is 10. In the game above I changed it to 9.