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Question Number 180821 by Acem last updated on 17/Nov/22

We want to randomly fill six digits with one of   −1 or +1, what′s the probability that the sum   value of those digits is zero provided that the same   values of digits aren′t adjacents?

$${We}\:{want}\:{to}\:{randomly}\:{fill}\:{six}\:{digits}\:{with}\:{one}\:{of} \\ $$$$\:−\mathrm{1}\:{or}\:+\mathrm{1},\:{what}'{s}\:{the}\:{probability}\:{that}\:{the}\:{sum} \\ $$$$\:{value}\:{of}\:{those}\:{digits}\:{is}\:{zero}\:{provided}\:{that}\:{the}\:{same} \\ $$$$\:{values}\:{of}\:{digits}\:{aren}'{t}\:{adjacents}? \\ $$

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