Q172 / 270 · NDA 2012 (Phase 1) · Mathematics

Three dice are thrown. What is the probability that the same number will appear on each of them?

  • A
    1/6
  • B
    1/18
  • C
    1/24
  • Correct answer
    D
    1/36

Solution

Total no. of case $=6^3=216$ Fav cases $=\{(1,1,1),(2,2,2)(3,3,3),(4,4,4),(5$ $5,5),(6,6,6)\}$. Probability $\frac{6}{216}=\frac{1}{36}$

Hence, the correct answer is option: 'D'.

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