Why do you think so? The coin was flipped multiple (n) times, so the probability of total success is 0.5^n. For 10 coin flips, it is already less than 1/1000.

Why do you think so? The coin was flipped multiple (n) times, so the probability of total success is 0.5^n. For 10 coin flips, it is already less than 1/1000. Alternatively, you can view it as a game that is repeated until one person is left. So the chance of success is 1/n where n is the number of people involved - independent of the random method chosen for selection (coin flip, rolling dices, or whatever).