Verified Solution • 2025–26 Session moderate

QJEEM22Ma3492: JEE Main 2022 Mathematics - Class 12 JEEM22Ma3492 Solution: The probability, that in a randomly selected 3-digit number at…

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

Multiple Choice Options

  • A 1936{{19} \over {36}}
  • B 1536{{15} \over {36}}
  • C 1336{{13} \over {36}}
  • D 2336{{23} \over {36}}

Step-by-Step Verified Solution

At least two digits are odd = exactly two digits are odd + exactly there 3 digits are odd

For exactly three digits are odd

JEE Main 2022 (Online) 28th June Morning Shift Mathematics - Probability Question 95 English Explanation
For exactly two digits odd :

If 0 is used then :2×5×5=50: 2 \times 5 \times 5=50

If 0 is not used then : 3C1×4×5×5=300{ }^3 \mathrm{C}_1 \times 4 \times 5 \times 5=300

Required Probability =475900=1936=\frac{475}{900}=\frac{19}{36}

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