Four points are chosen at random inside a square. Each point is chosen by choosing a random x-coordinate and a random y-coordinate.
A convex quadrilateral is drawn with the the four random points as the vertices.
Determine the probability that the center of the square is inside this quadrilateral.
(In reply to
preliminary simulation results by Charlie)
In a set of 150,000,000 trials there were 104,164,233 convex quadrilaterals formed, of which 54,169,548 included the center of the square, for an average probability of 52.00%, taking an hour and 12 minutes:
54169548 104164233 0.520039810594103
Elapsed time is 4325.510664 seconds.
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Posted by Charlie
on 2023-01-12 11:44:24 |
re: preliminary simulation results
