You have a standard pack of 52 playing cards. You then shuffle them and begin to draw out cards until you have three of a kind. What is the most likely number of cards drawn when this happens?
You then shuffle another pack of 52 playing cards into the pile. What happens to the expected number of cards now? (i.e. does it double / halve / stay the same?)
(In reply to Just a thought..
Well, Chris, one obvious problem with your thought (and I mentioned it earlier here--the first comment for this problem) is that, once you get your 27th card, you MUST have three of a kind of SOMETHING.
You'll never need to take the 28th card.