Question

Cards numbered from 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 cards is

(i) an odd number (ii) a perfect square number

(iii) divisible by 5 (iv) a prime number less than 20

Answer 1

Total cards = 50

(1)
No. of odd number cards =25
No. of favourable outcomes =50
Probability of the event=no. of favourable outcomes/total no. of outcomes.
=
(2)
perfect squre={16,25,36,49};total number =4
probability=

(3)divisible by 5 ={15,20,25,30,35,40,45,50,55,60};total number 10
probability=
(4) prime number less than 20={11,13,17,19};total number=4
probability=