statistical likelihood of intersecting elements?

Question

Hi. Any help would be appreciated, here's the question:

You choose 30 from a universe of 60.
Someone else chooses 30 from the same universe.

What are the chances that no element is a member of both sets? Is it the same likelihood that all elements are members of both sets?

Thank you.

Ah sorry Doug, quite right. No, 30 unique elements without chance of duplication. Thank you for taking a look at my question.

Answer 1

There's one piece of information missing. When you (or 'someone else') choose something from the set U of things, is it possible that you may get a replication? That is, after you identify what it is you have randomly received, is it 'thrown back' so that it might be possible to draw it again?

Doug