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?


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

$W e w a n t t o r a n d o m l y f i l l s i x d i g i t s w i t h o n e o f$ $- 1 o r + 1, {w h a t}^{'} s t h e p r o b a b i l i t y t h a t t h e s u m$ $v a l u e o f t h o s e d i g i t s i s z e r o p r o v i d e d t h a t t h e s a m e$ $v a l u e s o f d i g i t s {a r e n}^{'} t a d j a c e n t s ?$
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