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Question: Answered & Verified by Expert
Three digital numbers are formed using the digits $0,2,4,6,8$. A number is chosen at random out of these numbers. What is the probability that the number has the same digits?
MathematicsProbabilityNDANDA 2010 (Phase 2)
Options:
  • A $1 / 16$
  • B $1 / 25$
  • C $16 / 25$
  • D $1 / 645$
Solution:
2669 Upvotes Verified Answer
The correct answer is: $1 / 25$
Given digits are $0,2,4,6,8$. Total number of cases $=4 \times 4 \times 4$
(\becauseWe have 4 choices for each number)
Required probability $=\frac{4}{64}=\frac{1}{16}$

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