Tossing a coin ten times is a [repeated] experiment or trial. It is neither empirical nor theoretical probability.
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There are no generic answers. The theoretical probability for rolling a die and tossing a coin will, obviously, be different. The theoretical probability of an event is calculated by finding a suitable model for the trial and then using scientific laws to determine the probabilities of its outcomes.
The probability of tossing a coin and getting heads is 0.5
Yes.
3/8. And the coin tossing is totally irrelevant.
0.5