woo, this can be analysed
assuming button is truly random and will get strips 1-1134 equally
probability of getting "old" strips= 800/1134 = 0.71
probability of getting "new" strips = (1134-800)/1134 = 0.29
probability of getting "old" strips 50 times in a row = (0.71)^50 = 0.000000036 (silly small number)
this was achieved by JorickHorn, so, random button is probably broken...
how broken? maybe it only gets up to say, 816 strips (as shown by C Patrick Carolan)
so now
probability of getting "old" strips= 800/816 = 0.98
probability of getting strips from 801 to 816 = (816-800)/816 = 0.02
probability of getting any strips beyond 816 = 0
probability of getting "old" strips 50 times in a row = (0.98)^50 = 0.36 (more than one third of the time)
probability of getting at least 1 strip between 801 to 816 = (1-0.36) = 0.64 (more than half the time)
probability of getting 1 to 3 strips between 801 to 816 after clicking 75 times in a row = 75*(0.98)^74*(0.02) + 2775*(0.98)^73*(0.02)^2 + 67525*(0.98)^72*(0.02)^3 = 0.72 (nearly three quarters of the time)
as achieved by Hobolicious =)
this is fun.
I'm bored. Don't hit me.