Suppose that n is a positive integer with n > 3. Three distinct integers are chosen from the set {1, 2, 3, ..., n – 1, n} and arranged from smallest to largest. (The set contains exactly the smallest n positive integers.) Determine the probability that the middle integer of these three is greater than or equal to the average of the largest and the smallest.

Suppose that n is a positive integer with n > 3. Three distinct integers are chosen from the set {1, 2, 3, ..., n – 1, n} and arranged from smallest to largest. (The set contains exactly the smallest n positive integers.) Determine the probability that the middle integer of these three is greater than or equal to the average of the largest and the smallest.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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