Question

cards marked with numbers 13,14,15....60, placed in a box and mixed thoroughly.one carf is drawn at random from the box.find the probabilitu that number on the card drawn is divisible by 5 a perfect square

Answer 1

Total no. of outcomes = 
Using AP.,
a=12 d=1 an= 60
an = a +  (n-1)d
60 =13 + (n-1)1
60= 13 + n - 1
60 - 12 =n
48        = n

(a) Favourable outcomes =  15, 20, 25, 30, 35, 40, 45, 50, 55 and 60
                                   = 10
Therefore, P(E) = 10/48 = 5/24

(b) Is a perfect square = 16,25, 36 and 49 =3
Therefore P(E)             = 3/48 = 1/18

Hope this was helpful :))

Answer 2

ii. There r 4 perfect square no., 16,25,36,49 so probability =4/48=1/12