Similarly, P(min{X1, X2, ..., Xn} < x) = P(X1<x or X2<x ... or Xn < x) = P(not(not(X1 < x) and not(X2 < x) ... and not(Xn < x))) = 1-P(not(X1 < x) and not(X

Similarly, P(min{X1, X2, ..., Xn} < x) = P(X1<x or X2<x ... or Xn < x) = P(not(not(X1 < x) and not(X2 < x) ... and not(Xn < x))) = 1-P(not(X1 < x) and not(X2 < x) ... and not(Xn < x)) = 1-P(not(X1 < x))⋅P(not(X2 < x)) ... ⋅P(not(Xn < x)) = 1-(1-P(X1 < x))⋅(1-P(X2 < x)) ... ⋅(1-P(Xn < x)) = 1-(1-x)^n which curve, in the [0, 1]^2 square, is just x^n rotated around (1/2; 1/2) by 180 degrees.