Preliminary analysis of the video-taped tosses suggests that a coin will land the same way it started about 51 percent of the time. "It's a gem-like example of what we know that isn't so," Diaconis says. Though a skeptic since childhood, he believed that "if you flipped a coin vigorously, it was going to be fair.
"But it's not so bad," he says. "One in a hundred is pretty close, actually. It gives me faith that probability assumptions can be validated and useful, but you have to look at them case by case."
From Stack Overflow:
In an infinite sequence of random numbers, you will see infinite sequences of the same number. - Lasse V. Karlsen
Is there mathematical proof for this? – StackedCrooked
@StackedCrooked: It isn't true. But you would see arbitrarily long sequences of the same number. – Jason Orendorff
Methinks Mr. Orendorff does not understand the peculiar qualities of infinity.
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