Question Number 180821 by Acem last updated on 17/Nov/22
$${We}\:{want}\:{to}\:{randomly}\:{fill}\:{six}\:{digits}\:{with}\:{one}\:{of} \\ $$$$\:−\mathrm{1}\:{or}\:+\mathrm{1},\:{what}'{s}\:{the}\:{probability}\:{that}\:{the}\:{sum} \\ $$$$\:{value}\:{of}\:{those}\:{digits}\:{is}\:{zero}\:{provided}\:{that}\:{the}\:{same} \\ $$$$\:{values}\:{of}\:{digits}\:{aren}'{t}\:{adjacents}? \\ $$