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COMEDK2024MathematicsProbability

If four digit number is formed using the digit 0 , 1,2,3 with no repetition. Then the probability that the number is both even and divisible by 3 is

Options

  1. A6 18
  2. B5 18
  3. C11 18
  4. D7 18

Correct answer

C. 11 18

Step-by-step solution

Total four digit number formed whose last digit is 0=6 . Total four digit number formed whose last digit is 2=5 There is no repetition hence every number is divisible by 3 . Maximum number of four digit formed using these digits =18 Required probability = 6+5 18 = 11 18

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