All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Probability
Three of a Kind (Posted on 2003-11-19) Difficulty: 4 of 5
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?)

No Solution Yet Submitted by Lewis    
Rating: 4.3333 (9 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
thoughts | Comment 27 of 39 |
First of all, I think this problem is a little beyond me, but I interpreted the problem to mean the probability of getting a three of a kind(non-poker) on drawing on a particular card. That means that you don't include the probability of already having drawn a three of a kind. Having a list of probabilities for each card makes it simple to calculate both anyway.

Second of all, to Dan,
You and other people have probably already told you this, but you take these puzzles too literally (or not literally enough, depending on how you look at it). I'm absolutely sure that yours was not the intended answer, and I think you know that, but pursue it anyway. Do you know how hard it is to write a puzzle that is free from problems that could be exploited by people like you? It takes very, careful phrasing.

Not that there's anything wrong with what you're doing, but the intended solution is what we're looking for, or a better one. By better, I mean things like a shorter proof.
  Posted by Tristan on 2003-11-20 20:01:35
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (7)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information