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What is the value of the Jaccard index when the two sets are disjoint?

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in Data Structures & Algorithms I by (88.7k points)
What is the value of the Jaccard index when the two sets are disjoint?

(a) 1

(b) 2

(c) 3

(d) 0

This is a very interesting question from Hash Tables topic in chapter Hash Tables of Data Structures & Algorithms I

I had been asked this question in semester exam.

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Correct answer is (d) 0

For explanation: MinHash helps in the quick estimation of similarity between two sets. Jaccard Coefficient is used for the similarity between two sets. Jaccard Coefficient Index is defined as the ratio of total elements of intersection and union of two sets. For two disjoint sets, the value of the Jaccard index is zero.

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