Κυριακή 17 Μαρτίου 2024

Flippin' Discs

Imagine you have two discs. Each disc is red on one side and green on the other.
You flip the discs, and when they land, you win if both discs show the same colour.
Click on image.
Click "Run Once" to complete a throw. Did you win?
Click a few more times and look at your results after several throws.
Approximately how often do you think you would win if you completed 100 throws?
Make a prediction and then check it by doing the experiment.
Now click on the purple cog in the top right corner and change the number of discs to 3. You win if all the discs show the same colour.
Can you predict what the probability of winning will be this time?
Check that your prediction matches the results from the interactivity.
Do the same with 4 and 5 discs.
Do you notice a pattern in your results? Can you explain it?
Can you explain how to find the probability of winning for n discs?

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