Question

30. Cards numbered 11 to 60 are kept in a
box. If a card is drawn at random from
the box, find the probability that the
number on the drawn card is:
(i) an odd number.
(ii) a perfect square number.
(iii) divisible by 5.
(iv) a prime number less than 20.
[CBSE 2014]

Answer 1

Step-by-step explanation:

i) between 11 to 60 there are 25 odd numbers

25/50=1/2

ii) between 11 and 60 there are 4 perfect squares(16,25,36,49)

4/50=2/25

III) for a number to be divisible by 5 unit place digit should be 0 or 5

between 11 and 60, there are 10 numbers that are divisible by 5

10/50=1/5

iv) there are 4 prime numbers less than 20 and greater than 100

4/50=2/25