[ExI] isaac's number
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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