Question

A box contains 90 cards numbered 1 to 90 then the probability of getting a perfect square is​

Answer 1

Answer:

Given,

A box contains 90 cards numbered 1 to 90 and a card is drawn randomly from the box.

To Find,

The probability that the number on the card is a perfect square.

Solution,

Total no. of outcomes = 90

Perfect square numbers from 1 to 90 = 1, 4 , 9 , 16 , 25 , 36 , 49 , 64 and 81.

So, no. of favourable outcomes = 9

Probability of getting a card of no. that is a perfect square:

→ P (card no. that is a perfect square) = \dfrac{Favourable outcomes}{Total no. of outcomes}

Totalno.ofoutcomes

Favourableoutcomes

= \frac{9}{90}

90

9

= \frac{1}{10}

10

1

Therefore the required answer is Option A: 1/10.

Note:

If the options are provided in the decimal form, then the answer is 0.1. (1/10 =0.1)

Knowledge Bytes:

→ Probability refers to the possibility of the happening of an event.

→ It always lies between 0 and 1.

→ 0 means null event while 1 means sure event.