Attempted calculation of the probability to win a game.

Question

I'm playing the game "Pepper Panic" and the goal is to create two pepper panics. I noted down some ten results by the numbers I obtained ($0$ or $1$). I obtained a mean of $0.4$ and a standard deviation of $0.51$. If I take as a hypthesis that the distribution is normal and I calculate the probability for the result be $\geq 2$ I get $0.000852689$ which is very very low, since I have already won the game after some twenty times. What is wrong here?