Question

A box contains cards numbered 11 to 123 . a card is drawn random from the box. find the probability that the number on the drawn card is (i) a square number. (ii) a multiple of 8

Answer 1

Heya !!!


Total cards = 11 to 123
= 123 - 11 + 1 = 113.

Hence, the total number of cards are 113.

Now

(i). A square number......

Total square numbers between 11 and 123 are....
16, 25, 36, 49, 64, 81, 100, 121.

Therefore, there are total 8 square numbers.

Using Probability formula,

P (E) = No. of possible outcomes/total number of outcomes.

So,

P (E) = 8/113.

(ii). A multiple of 8.

Total multiples of 8 between 11and 123 are.....
16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120.

As there are 14 multiples of 8 between 11 and 123.

So, using formula mentioned above

W e get

P (E) = 14/113.

Hope you got the answer.......