printf "After %5.5s inserts the odds of no dups: %.17f\n", $_, ( 1 - ( 0.99999999976716935634613037109375 ** $_ ) ) )**10 for map "${_}e8", 1..40;; After 1e8 inserts the odds of no dups: 0.00000000000000004 After 2e8 inserts the odds of no dups: 0.00000000000003802 After 3e8 inserts the odds of no dups: 0.00000000000195354 After 4e8 inserts the odds of no dups: 0.00000000003092706 After 5e8 inserts the odds of no dups: 0.00000000025689926 After 6e8 inserts the odds of no dups: 0.00000000141936970 After 7e8 inserts the odds of no dups: 0.00000000591942653 After 8e8 inserts the odds of no dups: 0.00000002009607516 After 9e8 inserts the odds of no dups: 0.00000005831019113 After 10e8 inserts the odds of no dups: 0.00000014949378123 ** After 11e8 inserts the odds of no dups: 0.00000034677629037 After 12e8 inserts the odds of no dups: 0.00000074067890139 After 13e8 inserts the odds of no dups: 0.00000147618719432 After 14e8 inserts the odds of no dups: 0.00000277379244752 After 15e8 inserts the odds of no dups: 0.00000495435410008 After 16e8 inserts the odds of no dups: 0.00000846740103378 After 17e8 inserts the odds of no dups: 0.00001392227490012 After 18e8 inserts the odds of no dups: 0.00002212133818548 After 19e8 inserts the odds of no dups: 0.00003409433217130 After 20e8 inserts the odds of no dups: 0.00005113288027133 After 21e8 inserts the odds of no dups: 0.00007482409152212 After 22e8 inserts the odds of no dups: 0.00010708222525783 After 23e8 inserts the odds of no dups: 0.00015017742682200 After 24e8 inserts the odds of no dups: 0.00020676062948530 After 25e8 inserts the odds of no dups: 0.00027988383247111 After 26e8 inserts the odds of no dups: 0.00037301510162471 After 27e8 inserts the odds of no dups: 0.00049004779031911 After 28e8 inserts the odds of no dups: 0.00063530363659898 After 29e8 inserts the odds of no dups: 0.00081352955192231 After 30e8 inserts the odds of no dups: 0.00102988807161069 After 31e8 inserts the odds of no dups: 0.00128994158265037 After 32e8 inserts the odds of no dups: 0.00159963057715543 After 33e8 inserts the odds of no dups: 0.00196524629692540 After 34e8 inserts the odds of no dups: 0.00239339823431121 After 35e8 inserts the odds of no dups: 0.00289097703606607 After 36e8 inserts the odds of no dups: 0.00346511341973626 After 37e8 inserts the odds of no dups: 0.00412313375677405 After 38e8 inserts the odds of no dups: 0.00487251300375936 After 39e8 inserts the odds of no dups: 0.00572082567410912 After 40e8 inserts the odds of no dups: 0.00667569553892502