Probability and Geometry
is a LED panel that contains a smaller one, .
You turn on one of the LED lights, randomly.
What is the probability that the light you turned on is inside panel ?
Explore probabilities in the app below!
Consider how theoretical and experimental probabilities are defined, then push the light bulb button to turn on one of the LED lights.
Turn on more lights and compare the values of theoretical probability and the experimental probability.
Use the reset button on top right to restart the experiment.
What do you observe? Do you notice any significant change in the experimental probability when a lot of LED lights are turned on?
You can drag all the vertices of the panels and create your own. Can you create a panel for which the theoretical probability to turn on the light in the panel is 1?
Can you create a panel for which the theoretical probability to turn on the light in the panel is 0.5? Is there only one possible configuration that generates this probability?