Find the probability

michael12392

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A parking lot consists of 2020 spaces, numbered from 1 to 2020 and lined up in a single line. Сars arriving at the parking lot are parking in the following way: The first one chooses the place randomly. Every other car chooses the space from which the distance to the nearest car is the greatest (one of these spaces with equal probability).Find the probability that the last car(2020th) will take the space with number 1?
 
A parking lot consists of 2020 spaces, numbered from 1 to 2020 and lined up in a single line. Сars arriving at the parking lot are parking in the following way: The first one chooses the place randomly. Every other car chooses the space from which the distance to the nearest car is the greatest (one of these spaces with equal probability).Find the probability that the last car(2020th) will take the space with number 1?
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