perplexus.info :: Probability : In or out?

In or out? (Posted on 2024-04-09)

Choose randomly 3 points on a circumference of a circle.

What is the probability that the center of the circle
lies within the triangle ABC?

Source: Simplified from a 3-dimensional problem on a Putnam exam.

No Solution Yet Submitted by Ady TZIDON

No Rating

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

Puzzle Answer

Comment 2 of 2 |

The required probability is equal to 0.25.

Posted by K Sengupta on 2024-04-09 08:41:14

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (14)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info