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1984

JEE Main 1984 Mathematics question on Probability

Three identical dice are rolled. The probability that the same number will appear on each of them, is
  1. A.
    16\dfrac{1}{6}
  2. B.
    136\dfrac{1}{36}
  3. C.
    118\dfrac{1}{18}
  4. D.
    328\dfrac{3}{28}
Show answer and solution

Correct option: B

Solution

Total outcomes = 6³ = 216. Favorable outcomes = 6 (all three showing 1,1,1 or 2,2,2 ... or 6,6,6). Probability = 6/216 = 1/36.

[1984]

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