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GATE DA 2026 Q47: Accuracy, precision and recall for two authors

Question

Consider that 20 stories of Author X and 10 stories of Author Y were kept together without mentioning the names of the authors. A classifier was then asked to predict the author (X or Y) of each of these stories. Let, out of X's stories, 6 were classified as that of Y. On the other hand, out of Y's stories, 2 were classified as that of X.

Considering X and Y as two classes, which of the following statements is/are true?

Try it: multiple select: one or more correct options

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Select all correct options. No negative marking, no partial marks.
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Answer: A, B (official GATE 2026 final answer key)

Concept used: Confusion matrix: precision = TP / predicted positives, recall = TP / actual positives.

First step: Correct: 14 of X and 8 of Y (22 of 30). Predicted X: 16 (14 right); predicted Y: 14 (8 right). Recall X = 14/20, recall Y = 8/10.

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Source: official GATE 2026 DA question paper and final answer key, organised by IIT Guwahati. Question paper · Answer key

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