[ExI] isaac's number

spike spike66 at att.net
Tue Aug 1 17:13:52 UTC 2017

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!   :)



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


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

Wowsers, 11/144, whooda thunk?


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