for n repeated independent trials, with constant probability of success p for all trials, find the probability of exactly x succes n=5,p=1/3, x=4

Answer 1

If there are only two possible outcomes from each trial then it's a binomial and by using the formula nCx p^x(1-p)^(n-x) we get; 5C4(1/3)^4(2/3)^1=0.04115

Answer 2

n=10,P=0.7,=5

Answer 3

for n repeated independent trials, with constant probability of success p for all trials, find the probability of exactly x succes n=12,p=0.4, x=6