My Math Forum Three sided coin ( basic math question)

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 February 19th, 2018, 08:21 AM #1 Newbie   Joined: Feb 2018 From: UK Posts: 1 Thanks: 0 Three sided coin ( basic math question) In this PDF there is a comparison of different models describing 3-sided coins. Now,on page 3 Model 1 is pretty clear, to calculate the probability (of the flipped coin landing on its side ) they consider coin side surface area to the total surface area ratio. Model 2 is a bit confusing it seems that they divide one side of a perimeter (h) by the sum of three other sides 2(2R)+h rather than the sum of all four sides intuitively it should be 2(2R) +2 h What am I missing ? Related question: how do they define cross sectional length? Is it just a half of the diagonal, as per drawing? And if that's the case,why would the probability be proportional to that length? I don't find it very intuitive. Thanks
 March 1st, 2018, 03:51 AM #2 Newbie   Joined: Jan 2018 From: Seattle, WA Posts: 20 Thanks: 6 A three-sided die, viewed from one 'end,' similar in shape to a slice of orange.

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