GATE EE 2017 Set 1 — Question 60
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General Aptitude → Quantitative Aptitude → Elementary Statistics & Probability
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Question
The probability that a -digit number does NOT contain the digits 0, 5, or 9 is
Correct answer
(C) 0.7^k
Solution
In probability problems of this type for competitive exams, a '-digit number' is often treated as a sequence of independent slots, where each slot can be filled by any of the 10 digits .
1.Total number of ways to fill slots = .
2.We want to exclude the digits 0, 5, and 9. This leaves allowed digits: .
3.Number of ways to fill slots using only these 7 digits = .
4.Probability = .
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