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Week 86 (5/3/04)
Shifted intervals
Let ≡ 1/N. Choose a number at random between 0 and 1. Choose a second number
between and 1 + . Choose a third number between 2 and 1 + 2 . Continue this
process, until you choose an Nth number between 1 − and 2 − . What is the
probability that the first number you choose is the smallest of all the numbers?
Assume that N is very large, and make suitable approximations.

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Prob86

  • 1. Week 86 (5/3/04) Shifted intervals Let ≡ 1/N. Choose a number at random between 0 and 1. Choose a second number between and 1 + . Choose a third number between 2 and 1 + 2 . Continue this process, until you choose an Nth number between 1 − and 2 − . What is the probability that the first number you choose is the smallest of all the numbers? Assume that N is very large, and make suitable approximations.