An open toss problem
Prem N. Bajaj, Gonzalo R. Mendieta · International Journal of Mathematics and Mathematical Sciences · 1993
We discuss some particular cases of the following problem.Each of m persons tosses a coin.Those who get heads stay for the next round.Those who get tails are eliminated; however, if all persons get tails in a round, they move to the next round (as if each of them had got a head).The problem is to find the possibility that exactly one person is left after r rounds.All coins are considered identical but not necessarily fair.