A four-digit number is formed by using the digits 1, 2, 4, 8 and … - 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
$\frac15$
✓
$\frac25$
C
$\frac35$
D
$\frac45$

✓

Answer

Correct option: B.

$\frac25$

Total number of outcomes $= 5 \times 4 \times 3 \times 2 = 120$
The number of favourable cases $= 2(4 \times 3 \times 2) = 48 ($i.e., odd numbers$)$
Therefore,
Required probability $\frac{48}{120}=\frac25$

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