Algodoo

This is a response to the scene "1 in 100 chance of turning a square green" by user "im557".

He claims that there is a 1 in 100 chance of turning a square green when clicking on it. Well, after playing around with his scene, I started wondering "Is his claim actually true?". So, I decided to test his claim by making this response scene which uses his Thyme Script that generates the random numbers. His script uses the random number generator called "rand.uniform01". It's called that because it generates random real numbers within the range of 0.0 to 1.0 with a uniform distribution over time. That means any number within that range has an equal chance of showing up as any other number. User im557 normalized the generated values by multiplying each real number by 100, adding 0.5 (to round up the number), and then stripping off the decimal portion so that the result is an integer within the range of 0 to 100. He then used the integer 99 as a trigger for counting as a "Hit". He could have used any other integer within that range because of the fact that the distribution is uniform. The main thing that's different between our scenes is his scene requires a user to click on a square which produces only one data point. Either the square will turn green or it will remain white. Over time the square will turn green 1 out of 100 clicks. I wanted to automate the clicks so my scene generates a random number every 1/10 of a second (approximately). After 100 automated clicks, a tally of hits is then used to calculate the running average. A set of 100 clicks I call a cycle. The general way probability works is the larger the data population is, the more accurate will be the result. That's especially true for taking the average of a data set. For example, some cycles will generate no hits (zero data values) and some cycles will generate multiple hits (2 to 6 data values). I found that it can require at least 30 cycles in order to get a result very close to 1. But that will probably change each time you run the scene. If you are in a hurry, you can speed up the calculations by increasing the "Simulation Speed".

Want to see how many different random number generators Thyme Script has? Well, here ya go!: Random Number Generators