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.
Gamer, are the following assumptions correct? If they are, I will have to wait to solve this one until my programming skills with Visual Basic are properly developed. I'm still going through the course materials.
Assumptions: 2 new problems come in, each at any random time of the day or night, each weekday, and 1 new problem comes in at any random time of the day or night, each weekend (Saturday or Sunday). The Random button is truly random. The possibilities for the number of puzzles on the website when she clicks on Random button five times each evening then are:
Sunday evening:
2020202020
2020202021
2020202022
2020202121
2020202122
2020202222
2020212121
2020212122
2020212222
2021212121
2021212122
2021212222
2021222222
2022222222
Monday evening:
2222222222
2222222223
2222222224
2222222323
2222222324
2222222424
2222232323
2222232324
2222232424
2223232323
2223232324
2223232424
2223242424
2224242424
2323232323
2323232324
2323232424
2323242424
2324242424
2424242424
Tuesday evening:
2424242424
2424242425
2424242426
2424242525
2424242526
2424242626
2424252525
2424252526
2424252626
2425252525
2425252526
2425252626
2425262626
2426262626
2525252525
2525252526
2525252626
2525262626
2526262626
2626262626
Etc...............................

Posted by Penny
on 20040209 18:03:15 