Timeline for Probability of randomly drawing all numbers from a set

9 events

when toggle format	what		by	license	comment
Jan 13, 2015 at 6:05	history	edited	random_guy	CC BY-SA 3.0	added 2 characters in body
Jan 12, 2015 at 15:11	comment	added	whuber♦		(+1) Using the formula in the duplicate for $P(X_{10}(A)=50)$ gives the answer as $$\frac{104586258561652151699128857}{3881770614586446846243219560109206166400000000}\approx 2.6942926\times 10^{-20}.$$ It also shows that one must conduct $41$ draws in order to have a better than $1/2$ chance to collect all $50$ numbers (the chance then is approximately $0.501362$). It will require $81$ draws to have better than a $99\%$ chance of collecting them all, etc.
Jan 12, 2015 at 15:09	comment	added	whuber♦		The duplicate thread answers that question, too.
Jan 12, 2015 at 15:05	comment	added	user1478335		Is it possible to estimate how many trials would be necessary to draw all fifty numbers, as a matter of interest?
Jan 12, 2015 at 15:05	vote	accept	user1478335
Jan 12, 2015 at 13:19	comment	added	user1478335		Thank you. I thought that I was being naive and that the probability would be low - didn't 'expect' it to be so vanishingly small though!
Jan 12, 2015 at 12:34	history	edited	random_guy	CC BY-SA 3.0	added 2 characters in body
Jan 12, 2015 at 12:26	history	edited	random_guy	CC BY-SA 3.0	added 122 characters in body
Jan 12, 2015 at 12:18	history	answered	random_guy	CC BY-SA 3.0