Let A be a subset of the set {1,2,...,n}. The number of elements of A is r, 1<=r<=n (|A| = r). What is the probability that A does not contain any consecutive elements?

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Let A be a subset of the set {1,2,...,n}. The number of elements of A is r, 1<=r<=n (|A| = r). What is the probability that A does not contain any consecutive elements?

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Let A be a subset of the set 1,2,...n. The number of elements of A is r, 1rnA=r.

 

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