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Dec 6, 2020 at 20:27 vote accept aleph
Dec 6, 2020 at 20:27 comment added aleph Wonderful. Thanks!
Dec 6, 2020 at 19:43 comment added Pietro Majer In other words you replace the digit $2$ with the set $\{0,1\}$, and $\mathcal S$ magically becomes a family of disjoint subsets of $\{0,1\}^n$, each of cardinality $2^{n-k}$. Brilliant!
Dec 6, 2020 at 19:33 comment added Max Alekseyev I see, thanks !
Dec 6, 2020 at 19:30 comment added Fedor Petrov @MaxAlekseyev but they violate the condition $\exists i: x_i+y_i=1$.
Dec 6, 2020 at 19:28 comment added Max Alekseyev Then two strings 02 and 20 may account for the same coin tossings giving two tails.
Dec 6, 2020 at 19:27 comment added Fedor Petrov @MaxAlekseyev nothing, the event corresponding to the string $s$ depends only on locations where $s$ has 0/1.
Dec 6, 2020 at 19:26 comment added Max Alekseyev What 2 in some position means for the coin?
Dec 6, 2020 at 19:19 history answered Fedor Petrov CC BY-SA 4.0