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 re:
Holy dismissive people batman!
Dan... chill out...
(1) I (and others) don't think the intent here is to make a 3 of five hand.
(2) You are welcome to attempt to solve the problem as if that was the intent.
(3) The problem, as you are interpreting it, is a much easier problem than interpreting it the way most of us are interpreting it.
so, I suggest you solve the same problem that we are solving (and preferably do it without a computer).