A four - digit number is formed by using the digits 1, 2, 4, 8 an… - Vidyadip

MCQ

A four $-$ digit number is formed by using the digits $1, 2, 4, 8$ and $9$ without repitition. If one number is selected from those numbers, then what is the probability that it will be an odd number?

A
$\frac{1}{5}$
✓
$\frac{2}{5}$
C
$\frac{3}{5}$
D
$\frac{4}{5}$

✓

Answer

Correct option: B.

$\frac{2}{5}$

Total number of outcomes $= 5 \times 4 \times 3 \times 2 = 120$
he number of favourable cases $= 2 (4 \times 3 \times 2) - = 48 \ ($i.e., odd numbers$)$
herefore,Required probability $=\frac{48}{120}=\frac{2}{5}.$

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