The probability of returning to the origin in a random walk in high-dimensional spaces is generally low, as more steps are taken in a random direction, increasing the distance from the origin. This is due to the increased number of possible directions to walk in high-dimensional spaces, making it more likely to take a step in a random direction that is far from the origin.

As for the clue for life, it seems like you are referring to a famous quote by Jack Handey: "Deep Thoughts by Jack Handey." While this quote is humorous, it's not entirely clear how it relates to the topic of random walks or high-dimensional spaces.

If you have any further questions or want to discuss more about the topic, feel free to ask!