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

 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.

 See The Solution Submitted by Gamer Rating: 4.1429 (7 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 About Flooble | Comment 4 of 8 |
The reason "Sunday Evening" was in there was to show you that any problems were already posted. If you look at any problem, you will see it is usually posted (or is supposed to be posted) in the afternoon, and another one in the morning if applicable.
 Posted by Gamer on 2004-02-09 18:06:11

 Search: Search body:
Forums (2)