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On question 18.1 it should be "one in 6,950,195^2" (or whatever the number is at the time of you reading this) and my mathaholic ass can't handle Wikipedians not grasping basic probability math (even though statistics is the worst kind of math imo).
Well my maths skills is on the decline but I think it's right how it is because first you click on an article, which can be anything, then your chance of clicking on that same article is 1 in 6.9 million. It is just 6.9 million because the first article can be anything.
But I believe for the squared to be there, you'd have to choose a specific start article before you click 'random'. So for example you decided that the first article is Carpet again, and the second article is also carpet. Well the probability of the first article being Carpet is 1 in 6.9 million, and the probability of the second article being Carpet is also 6.9 million. So you multiply them together and that would be 1 in 6.9 million squared. ―Panamitsu(talk)06:01, 6 February 2025 (UTC)[reply]
OK well I did got a bit too carried away with this little math thingy on a supposed humorous essay, but I did some more math on this and I figured out an equation that works for x Random Page clicks and n Wikipedia articles reachable from Random Page:
So for example, a clone Wikipedia site with only 5 articles actually can reach a one in 5 probability after approx. 4.49211261370864 clicks or 5 clicks after rounding up (per WolframAlpha).
So technically, a Wikipedian can reach a probability of one in 6,950,195 after some amount of Random Page clicks. It might just take a bit more Wikipediholism than the average Wikipedian to pull up this trick. And I can't calculate the aforementioned some as the number is a bit quite larger than what WolframAlpha can handle.
I think you're getting a little carried away. Of course, the more times you click, the more you are reducing your chancing of having never encountered two pages in a row, but that's not what the question referring to. No matter how many times you click the random button, the odd of getting any given page will be 1 in 6.9 million for any and every time you click. Question 18.1 is merely reflecting those odds. It's not taking into account the number of times you've clicked the button because that would be way to banausic. Diriector_Doc├─────┤TalkContribs22:38, 6 February 2025 (UTC)[reply]