Name: SAT Math Help & School Math Mastery
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Alice, Ben, and Chloe play a game. Each person starts with $1 $. A b e ll r in g se v ery min u t e, a tw hi c h t im ee a c h o f t h e pl a yers w h oc u rre n tl y ha v e m o n eys im u lt an eo u s l yc h ooseso n eo f t h eo t h er tw o pl a yers in d e p e n d e n tl y an d a t r an d o man d g i v es $1$ to that player. What is the probability that after the bell has rung 2025 times, each player will have $1 $?$