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GATE 2021 CS – Question 8

General Aptitude · Quantitative Aptitude: Probability and Combinatorics · 2 marks · Multiple choice

There are five bags each containing identical sets of ten distinct chocolates. One chocolate is picked from each bag. The probability that at least two chocolates are identical is ______

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

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Correct answer: (C) 0.6976

Explanation

P(all distinct) = (10x9x8x7x6)/10^5 = 0.3024. Required probability = 1 - 0.3024 = 0.6976.