Probability of survival without spin = (total number of adjacent pair of zeros)/(total number of empty + bullets );
Probability of survival with spin/rotation = (total number of zeros)/(total number of empty + bullets );
SO, P_s_without_spin = total adjacent zero/length;
P_s_with_spinĀ  = total zero/length;
if(P_s_without_spin == P_s_with_spin)
total adjacent zero/length = P_s_with_spinĀ  = total zero/length;
From above relation,
total adjacent zero*length = total zero*total zero;
Here, (total adjacent zero*length) can be considered as P_s_without_spin in equal or in equal relations.


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