Odds don’t change because of the number of times some thing it’s done.It's not a game with repeated hands and infinite money. When Monty introduces the final condition, it becomes a game of wits at 50/50.
That misunderstanding is one reason people lose at money on coin flips or roulette.
They think that a pattern of past results means something on the next attempt.
One try or 1000. The odds are the same. You might outrun the odds in a short race, but in a long race the better player (the odds) is going to win every time. And if you’re given only one shot at it, you should still bet with the odds.
The old adage, the race is not always to the swift, nor the battle to the strong, but that’s the way to bet.
