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Probability — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsProbability1 Mark
MCQ
Three identical dice are rolled. What is the probability that the same number will appear on each of them?
  • A
    $\frac{1}{6}$
  • ✓
    $\frac{1}{36}$
  • C
    $\frac{1}{18}$
  • D
    $\frac{3}{28}$
✓

Answer

Correct option: B.
$\frac{1}{36}$
Total number of cases $= 6^3 = 216$
The same number can appear on each of the dice in the following ways:
$(1, 1, 1), (2, 2, 2), ………….(3, 3, 3)$
So, favourable number of cases $= 6$
Hence, required probability $= 6/216 = 1/36$

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