Question

A box contains 90 cards numbered 1 to 90. If one card is drawn from the box at random, then the probability that the number on the card is a perfect suare is
1 point
1/10
9/100
1/9
3/100​

Answer 1

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) = $\dfrac{Favourable outcomes}{Total no. of outcomes}$

= $\frac{9}{90}$

= $\frac{1}{10}$

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.

Answer 2

Answer:

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) = Favourableoutcomes/ Totalno.ofoutcomes

= 9/90

= 1/10

Therefore the required answer is a) 1/10.

Hope this is helpful for you.