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A three-digit number is formed using the digits 1, 2, 3, 4, 5 without repeating any digit. If one such number is chosen at random, what is the probability that it is even?

Competition practiceData & Probability
  • A1/2
  • B3/5
  • C2/5
  • D1/5

Step-by-Step Solution

Total numbers = . For an even number the units digit must be 2 or 4 (2 ways) and the other two places can be filled in ways, giving 24 even numbers. Probability = 24/60 = 2/5.
Answer: C) 2/5

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