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GATE 2021 MA – Question 8

General Aptitude · Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation · 2 marks · Multiple choice

Five bags each contain an identical set of ten distinct chocolates. One chocolate is picked uniformly and independently from each bag. Find the probability that at least two picked chocolates are identical.

  1. 0.3024
  2. 0.4235
  3. 0.6976
  4. 0.8125

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Show answer and explanation

Correct answer: (C) 0.6976

Explanation

The probability all five differ is (10×9×8×7×6)/10⁵=0.3024. Its complement gives at least one repeated type: **1−0.3024=0.6976, C**.

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