A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears

(i) a two-digit number

(ii) a perfect square number.

(iii) a number divisible by 5.

OR

One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting

(i) A king of red colour.

(ii) A spade

(iii) The queen of diamonds

(iv)

(i) 10,11,12…90 are two digit numbers. There are 81 numbers. So,

Probability of getting a two-digit number

= 81/90 = 9/10

(ii)1, 4, 9,16,25,36,49,64,81 are perfect squares. So, Probability of getting

a perfect square number = 9/90 = 1/10

(iii) 5, 10,15….90 are divisible by 5. There are 18 outcomes. So, probability

of getting a number divisible by 5 = 18/90 = 1/5

OR

(i) Probability of getting A king of red colour.

P (King of red colour) = 2/52 = 1/26

(ii) Probability of getting A spade

P ( a spade) = 13/52 = 1/4

(iii) Probability of getting The queen of diamonds

P ( a the queen of diamonds) = 1/52