Probably Acute

Three points are randomly selected inside a sphere.

What is the probability that the three points form an acute angled triangle?

37 70 \dfrac{37}{70} 31 70 \dfrac{31}{70} 39 70 \dfrac{39}{70} 33 70 \dfrac{33}{70}

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1 solution

广增 谢
May 2, 2018

You can find the result in Hall G R. Acute triangles in the n-ball[J]. Journal of Applied Probability, 1982, 19(3): 712-715 .

Do you have access to the article? It would be great if you could share it.

Digvijay Singh - 2 years, 4 months ago

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@Digvijay Singh Here ....

Aaghaz Mahajan - 2 years, 2 months ago

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Wow, thanks. I couldn't find it anywhere. This is great.

Digvijay Singh - 2 years, 2 months ago

How did you find it?

Digvijay Singh - 2 years, 2 months ago

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@Digvijay Singh You are welcome!! :) And as for the paper.....Well, there is this REALLY AMAZING website in which you simply put the DOI and you'll get any paper....for free!!

Aaghaz Mahajan - 2 years, 2 months ago

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