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The answer is if he is allowed to take an infinite number of steps the probability of him stepping off the cliff eventually is 1 (certain) for every value of p>0

EndTo demonstrate this, if you could continue flipping a coin infinitely it would not matter how many times your flipped it, at some point (because it is certain to happen if you could do it infinitely) you would flip a consecutive number of discussioneither tails or heads greater than the total number of flips you have already had. Therefore no matter whether the tails or the heads represent a 'step to the left' the man would always end up stepping over the line of the cliff that he started next to.

The answer is if he is allowed to take an infinite number of steps the probability of him stepping off the cliff eventually is 1 (certain) for every value of p>0

End of discussion.

The answer is if he is allowed to take an infinite number of steps the probability of him stepping off the cliff eventually is 1 (certain) for every value of p>0

To demonstrate this, if you could continue flipping a coin infinitely it would not matter how many times your flipped it, at some point (because it is certain to happen if you could do it infinitely) you would flip a consecutive number of either tails or heads greater than the total number of flips you have already had. Therefore no matter whether the tails or the heads represent a 'step to the left' the man would always end up stepping over the line of the cliff that he started next to.

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The answer is if he is allowed to take an infinite number of steps the probability of him stepping off the cliff eventually is 1 (certain) for every value of p>0

End of discussion.