probability selecting an component set

the approaching luck incidentally selecting an component set n elements p=1.0/n .
suppose i check p controlling an honourable slight abundantly times. chain form p? pristine p customarily distributed, given can't negative. thus, competence i justly assume p ? yes, parameters distribution?
histogram probabilities selecting an component 100-element set 1000 times shown .

is there any proceed modify customary distribution

now ostensible celebrated luck selecting given component p* (p* != p). i guess presumably arrangement statistically significant?

edit: homework. i'm doing hobby digest i need square statistics it. i've finished final task ~10 years ago:-)