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 Ducks in a pond (Posted on 2023-01-24)
3 ducks have landed in a circular pond. What is the probability there is a diameter such that the semicircle on one side contains all of them?

Repeat for 4 ducks.

Note: consider the ducks to be randomly chosen points in a circle.

 No Solution Yet Submitted by Jer Rating: 5.0000 (2 votes)

 Subject Author Date re(3): The duck sequence Larry 2023-01-26 15:12:15 re(2): The duck sequence Steven Lord 2023-01-25 22:55:29 re: The duck sequence Brian Smith 2023-01-25 17:42:43 re: Randomize by XY coordinates instead of polar Brian Smith 2023-01-25 17:33:18 The duck sequence Math Man 2023-01-25 15:18:09 Calculus Solution for 3 ducks Larry 2023-01-25 13:27:42 Randomize by XY coordinates instead of polar Larry 2023-01-25 13:24:36 re: Solution Steven Lord 2023-01-24 16:22:35 Solution Brian Smith 2023-01-24 13:54:53 4 duck soln Steven Lord 2023-01-24 11:46:04 3 ducks as a simulation Charlie 2023-01-24 11:36:21 4 ducks as a simulation Charlie 2023-01-24 11:15:22 numerical integration with 4 ducks Charlie 2023-01-24 11:10:00 re: my err -- no actually it was MY error Charlie 2023-01-24 10:45:48 my err Steven Lord 2023-01-24 10:03:47 numerical integration for 3 ducks Charlie 2023-01-24 09:58:55 3 duck soln Steven Lord 2023-01-24 09:16:58

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