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(3): The duck sequence

Comment 17 of 17 |

(In reply to re(2): The duck sequence by Steven Lord)

Because ducks float, and are therefore made out of wood and weigh the same as witches.

Posted by Larry on 2023-01-26 15:12:15

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (0)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info