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You can try an experiment to test this method but you will need to
repeat the trials many times to reach any convincing conclusion.
This would be a good class project.
A tree diagram will help you to analyse what happens. Try
calculating the probabilities for 2, 3, 4, 5 and 6 ... tosses and
see if you can identify a pattern emerging.
You could try to calculate the final probabilities. Theoretically
the coin tossing can go on for ever so you will need to know a bit
about summing an infinite series.