Anyone can flip a coin four times so I say 100 percent probability. On the other maybe you should ask the odds of the results from four flips.
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The empirical probability can only be determined by carrying out the experiment a very large number of times. Otherwise it would be the theoretical probability.
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1/2 if the quarter is 'fair'.
It is neither. If you repeated sets of 8 tosses and compared the number of times you got 6 heads as opposed to other outcomes, it would comprise proper experimental probability.