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NDA 2 2025 Maths, question 110

Topic: Probability

Q110

Three faces of a die are black, two faces are white and one face is red. The die is tossed three times. What is the probability that the colours black, white and red appear in the first, second and third tosses respectively?

  1. (a) 1/361/36Correct answer
  2. (b) 1/61/6
  3. (c) 7/367/36
  4. (d) 5/365/36

Solution.

Answer: (a) 1/361/36

  1. The required order is specified, so multiply (3/6)(2/6)(1/6)=1/36.
  2. Do not multiply by 3!, which would instead allow the colours in any order.