Probabilities is P(X|Y) ~ Bin(n,p) same as P(Y|X) ~ Bin (n,p)?

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In my sheet it says that P(X|N=n) follows Bin(n,p), and I want to know if it were P(N|X=x), would it follow the same distribution?

My question is if P(X|N=n) follows Bin(n,p) is it safe to say that P(N|X=x) also follows Bin(n,p).