The formula for binomial distrubtion looks like that:
But is it possible to calculate proper results using slightly different formula?
The number of possible outcomes can be calculated using formula for variations with repetitions:
$m^N$
For example if I throw a coin 3 times, I get 8 possible outcomes. m=2 N=3 $2^3=8$
It looks to me like binomial distribution can be simply calculated by using this formula: $P(x)=\frac{{N\choose x}}{m^N}$
N = number of trials x = number of success m = number of outcomes from one trial
But I'm not sure. Maybe, it works only when there is a 50% probability of a success?