<p>Three dice are rolled simultaneously. The probability that all three dice show the same number is</p>
Step-by-Step Solution
Key Concept: Favorable outcomes: (1,1,1),(2,2,2),...,(6,6,6) = 6. Total = 6^3 = 216.
<p>Total outcomes: $6^3 = 216$.</p><p>Favorable (all same): 6 outcomes $(k,k,k)$ for $k=1,\ldots,6$.</p><p>$P = \dfrac{6}{216} = \dfrac{1}{36}$</p>
Correct Answer: D