Probability: The probability, that in a randomly selected 3 -digit number at… | JEE Main 2022 | Yukti Vault

Yukti Vault

JEE Main 2022 (Online) 28th June Morning ShiftQuestion 1

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

Probability

$\frac{19}{36}$✓ Correct answer$\frac{15}{36}$$\frac{13}{36}$$\frac{23}{36}$

Solution

Digit odd-probabilities: first digit $1..9$: $5$ odd of $9$; other digits $5$ odd of $10$. Favourable count $=900\cdot\frac{19}{36}=475$ (enumeration). So $P=\frac{19}{36}$. Answer: (A).

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