2
$\begingroup$

Let us suppose that a person are throwing a coin. He'll get one dollar if he win, and he'll pays one dollar if he loses. I understand that the winning will trend to zero in the case of unlimited number of throws.

But:

  • It is possible to find the probability of the maximum winning/loss during the experiment?
  • It is possible to find the probability distribution of the zero total winning during the experiment?
  • 2
    Note that you can only have zero winnings after an even number of plays. So, let's say that you play $2n$ times and let $W_{2n}$ be your winnings. Then $\mathbb P(W_{2n} = 0) = {2n \choose n} 2^{-2n}$.2011-09-14

0 Answers 0