Maybe this too simple of a question but shouldn't A and B be exactly equal in my below R code:
set.seed(0)
A <- sample(0:1, 50, prob = rep(.5, 2), replace = T) # 'A' is HERE
plot(table(A))
set.seed(0)
B <- rbinom(50, 1, .5) # 'B' is HERE
plot(table(B))
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