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Probability — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsProbability2 Marks
MCQ
Three identical dice are rolled. The probability that the same number will appear on each of them is
  • A
    $\frac{1}{6}$
  • ✓
    $\frac{1}{36}$
  • C
    $\frac{1}{18}$
  • D
    $\frac{3}{28}$
✓

Answer

Correct option: B.
$\frac{1}{36}$
(B)
As $\{(1,1,1),(2,2,2),(3,3,3),(4,4,4)$, $(5,5,5),(6,6,6)$, are only favourable outcomes
⇒ Required probability $=\frac{6}{216}=\frac{1}{36}$

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