A card is drawn at random from a pack of 100 cards numbered 1 to … - Vidyadip

MCQ

A card is drawn at random from a pack of 100 cards numbered 1 to 100. The probability of drawing a number which is a square is:

A
$\frac{1}{5}$
B
$\frac{2}{5}$
✓
$\frac{1}{10}$
D
None of these

✓

Answer

Correct option: C.

$\frac{1}{10}$

Clearly, the sample space is given by
S = {1, 2, 3, 4, 5 ....97, 98, 99, 100}
$\therefore$ n(S) = 100
Let E = event of getting a square.
Then E = {1, 4, 9, 16, 25, 36, 49, 64, 81, 100}
$\therefore$ n(E) = 10
Hence, required probability $=\frac{\text{n}(\text{E})}{\text{n}(\text{S})}=\frac{10}{100}=\frac{1}{10}$

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