perplexus.info :: Probability : Ducks in a pond

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)

Comments: ( Back to comment list | You must be logged in to post comments.)

re(2): The duck sequence

| Comment 16 of 17 |

(In reply to re: The duck sequence by Brian Smith)

Besides, if you submitted it as "The Duck Sequence", they might reasonably ask: "Why a duck?"

Posted by Steven Lord on 2023-01-25 22:55:29

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