[ExI] isaac's number

[spike]

From: extropy-chat [mailto:extropy-chat-bounces at lists.extropy.org] On Behalf Of BillK
Subject: Re: [ExI] isaac's number

On 1 August 2017 at 07:28, spike  wrote:
>
>> Generate three random points on a square plane to create a triangle.  
> What is the probability that a fourth randomly-generated point will be 
> inside the triangle?




>...I think this gives the solution.
>...It just needs to be translated into English!   :)

<http://mathworld.wolfram.com/SquareTrianglePicking.html>

>...BillK


OK, so Woolhouse already claims this, in 1867.

I ran 350 billion trials last night (why does that sound like an exaggeration?  (It isn't.))  The answer I get from that is

0.063889013

Woolhouse's 11/144 = .076388889, equal to my Monte Carlo solution to about a part per million.

Wowsers, 11/144, whooda thunk?

g



_______________________________________________
extropy-chat mailing list
extropy-chat at lists.extropy.org
http://lists.extropy.org/mailman/listinfo.cgi/extropy-chat