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If two sets have no common elements, what is their Jaccard similarity?

easy📝 Conceptual Q2 of 15
NLP - Text Similarity and Search
If two sets have no common elements, what is their Jaccard similarity?
A1
BUndefined
C0
D0.5
Step-by-Step Solution
Solution:

  1. Step 1: Calculate intersection size

    If two sets have no common elements, their intersection size is 0.

  2. Step 2: Calculate union size and ratio

    The union size is the total number of unique elements. Jaccard similarity = intersection / union = 0 / union = 0.

  3. Final Answer:

    0 -> Option C

  4. Quick Check:

    No common elements means similarity = 0 [OK]
Quick Trick: No overlap means Jaccard similarity is zero [OK]
Common Mistakes:
MISTAKES
  • Assuming similarity is 1
  • Thinking similarity is undefined
  • Confusing with other similarity measures
  • Ignoring union size

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