So today I encountered an interesting math task that I would like to share with you:

There are 2 old men and 16 stones. All stones are coloured in 4 different colours, there are 4 stones of each colour. 2 men play game: each round they randomly pick 1 stone from the pile, after every round they switch turns. The game ends in victory, if one of the men has gathered 3 stones of the same colour, otherwise it's a draw. The task is to calculate the probability of the game ending in victory.

Now, I already know the answer for this problem, but I would love to see how cf community is gonna solve it, cause there's 1 detail about this problem that I consider interesting. I'll share it after some answers.