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JEE Main202228 Jun 2022Morning ShiftMathematicsProbabilityActual

The probability, that in a randomly selected 3 -digit number at least two digits are odd, is

Options

  1. A19 36
  2. B16 36
  3. C19 33
  4. D13 36

Correct answer

A. 19 36

Step-by-step solution

Total No of 3-digit Number = 900 Case -1 When there are 2 odd digit and 1 even digit (i) Even odd odd = 4 × 5 × 5 = 100 As 0 cannot come at 1 st place (ii) Odd even odd = 5 × 5 × 5 = 125 (iii) Odd odd even = 5 × 5 × 5 = 125 Case-2 All 3 odd digit = 5 × 5 × 5 = 125 So total number of selecting 3 -digit number having atleast 2 odd digit will be addition of both cases which is = 100 + 125 + 125 + 125 = 475 So probability = 475 900 = 19 36

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