Help with probability

Question

Hey,

I have a simple but annoying question (for me)

So

There are 250 tickets in the bag

12 of them are mine

If someone is taking one out and bringing it back there 11 times,

Whats the probability that at least one time he took one of my tickets out?

Answer 1

The way I look at this is the only way someone would never pick your ticket would be if they did not pick yours yours on all 11 tries. This would be (238/250)^11 which is .582. So chance that on one of these tries they pick your ticket is 1.00 - .582= .418