▁to ▁other ▁games ▁played ▁with ▁three ▁or ▁more ▁players ▁in ▁which ▁all ▁players ▁must ▁f end ▁for ▁themselves , ▁e . g . ▁cut th ro at ▁bridge ▁and ▁cut th ro at ▁American ▁hand ball . ▁ ▁Game play ▁▁ ▁When ▁ ▁the ▁fifteen ▁balls ▁for ▁cut th ro at , ▁the ▁ 1 ▁ball ▁is ▁placed ▁on ▁the ▁ ▁and ▁the ▁ 6 ▁ball ▁and ▁ 1 1 ▁ball ▁are ▁placed ▁on ▁the ▁other ▁two ▁corners ▁of ▁the ▁bill i ards ▁ra ck . ▁ ▁In ▁cut th ro at , ▁there ▁are ▁( us ually ) ▁three ▁sets ▁of ▁balls . ▁B alls ▁ 1 – 5 ▁are ▁called ▁the ▁" low " ▁balls , ▁the ▁" mid " ▁balls ▁are ▁ 6 – 1 0 , ▁and ▁the ▁" high " ▁balls ▁are ▁ 1 1 – 1 5 . ▁Each ▁of ▁the ▁three ▁players ▁will ▁eventually ▁" own " ▁one ▁of ▁these ▁sets ▁of ▁five ▁balls . ▁Win ning ▁is ▁accomplished ▁by ▁leg ally ▁ ▁() ▁all ▁of ▁the ▁other ▁players ' ▁balls . ▁Whether ▁each ▁shot ▁must ▁be ▁ ▁is ▁determined ▁before ▁the ▁game . ▁ ▁Each ▁set ▁of ▁five ▁balls ▁is ▁initially ▁un c laimed ▁– ▁the ▁ball ▁sets ▁remain ▁" open " ▁until ▁at ▁least ▁one ▁ball ▁from ▁two ▁sets ▁have ▁been ▁pocket ed . ▁For ▁example , ▁if ▁the ▁breaking ▁player ▁po ckets ▁the ▁ 6 ▁then ▁the ▁ 9 , ▁that ▁player ▁definitely ▁does ▁not ▁own ▁the ▁ 6 – 1 0 ▁group