 It is true that this random experiment requires the coin to be flipped faster and faster. At some point we would have to spin the coin faster than the speed of light. This is not logically impossible although this assumption violates a contingent law of nature. If you find this problematic, we can instead imagine that someone throws a dart on the real line between 0 and 1. The probability that the dart hits the first half of the interval, \(\left[0, \frac{1}{2}\right),\) is \(\frac{1}{2}.\) And the probability that the dart hits the next quarter, \(\left[\frac{1}{2}, \frac{3}{4}\right),\) is \(\frac{1}{4}\), and so on. If “coin flips” are generated in this manner the random experiment will be over in no time at all. To steer clear of the worry that no real-world dart is infinitely sharp we can define the point at which the dart hits the real line as follows: Let a be the area of the dart. The point at which the dart hits the interval [0,1] is defined such that half of the area of a is to the right of some vertical line through a and the other half to the left the vertical line. The point at which the vertical line crosses the interval [0,1] is the outcome of the random experiment.