I had an improbable life event happen today and I want to figure out the chances of this occurring. I didn’t win the lottery in case you’re wondering 

Let’s say there were 31,102 unique tokens in a bucket. Each day two people randomly choose one token. How many days would it take for these two peoples tokens to match up. 

What would be the odds/probability of this event? 

Additionally how would the answer change if the number was 23,145 instead.

The answer is really important to me, so thank you in advance! 

Stephen Constantine