probability that i win standing at second position: 1/365
third position : 364/365*2/365 = 1/365)*(628/365)
fourth position : 364/365*363/365*3/365
4th : 364/365*363/365*362/365*4/365

nth position:
(365-1)*(365-2)*(365-3)*(365-4)*(365-5).....*(365-(n-2))*(365-(n-1))*(n)*(1/365)^n

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