a=c(0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9)
b=c(0.9, 0.8, 0.7, 0.6, 0.5, 0.4, 0.3, 0.2, 0.1)
cor(a,b)= -1

a'=qbinom(a, 1, 0.5)
b'=qbinom(b, 1, 0.5)
why cor(a',b') becomes -0.5 ?



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