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Question: Answered & Verified by Expert
Three dice are thrown. What is the probability that the same number will appear on each of them?
MathematicsProbabilityNDANDA 2012 (Phase 1)
Options:
  • A $\frac{1}{6}$
  • B $\frac{1}{18}$
  • C $\frac{1}{24}$
  • D $\frac{1}{36}$
Solution:
2126 Upvotes Verified Answer
The correct answer is: $\frac{1}{36}$
Total no. of case $=6^{3}=216$ Favourable cases $=\{(1,1,1),(2,2,2),(3,3,3),(4,4,4),$,
$(5,5,5),(6,6,6)\}$
Probability $=\frac{6}{216}=\frac{1}{36}$

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