Let P=(Ω,F,P) be a D1159: Probability space such that
(i) | X1,Y1,…,XN,YN:Ω→RD are each a D4383: Random euclidean real number on P |
Then
P(N∑n=1Xn≠N∑n=1Yn)≤P(N⋃n=1{Xn≠Yn})