The binomial formula goes as follows: $$ Pr(X = k) = {n\choose k} p^k (1-p)^{n-k}$$
I understand why they multiply by $p^k$ and $(1-p)^{n-k}$, but why do they use the combinations formula and not the permutations one?
The binomial formula goes as follows: $$ Pr(X = k) = {n\choose k} p^k (1-p)^{n-k}$$
I understand why they multiply by $p^k$ and $(1-p)^{n-k}$, but why do they use the combinations formula and not the permutations one?
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