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 The Random Problem (Posted on 2004-02-09)
Suppose there are 20 problems on the site the Sunday evening a user looks at the site the first time. She doesn't read the newest problem of the day, but instead ONLY reads problems that come up on the "Random Problem" page. She reads 5 random problems each day, always in the evening. The only problem is she can see the same problem more than once.

The other problem is problems continue to come in from the infinite queue. Two per week day and one per weekend.

What is the probability she will have read all the problems after her next Sunday evening check? What is the probability she will have read all the problems after the Sunday evening after that?

Note: The problems displayed when you click on "Random Problem" are independent of each other. There isn't anything to make sure that you are getting five different problems if you click on random problem five times.

 Submitted by Gamer Rating: 4.1429 (7 votes) Solution: (Hide) Charlie presents a good solution here

 Subject Author Date thats wierd humfoozneydannle 2005-01-02 00:46:44 A solution Vincent 2004-03-09 13:39:52 Wow paul 2004-02-10 21:54:57 re: About Flooble Penny 2004-02-09 19:01:02 About Flooble Gamer 2004-02-09 18:06:11 Question for Gamer Penny 2004-02-09 18:03:15 Great puzzle! Rawlyn 2004-02-09 17:35:40 solution Charlie 2004-02-09 12:28:05

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