Cards marked with numbers 5,6,7.......30 are placed in a box and mixed thoroughly and one card is drawn at random from the box. What is the probability that the number on the card is

i) a prime number ?

ii) a multiple of 3 or 5 ?

iii) neither divisible by 5 nor by 10?

Total number of cards = 30-5+1=26

i) prime={ 7,11,13,17,19,23,29}  (total =7)
Probability= 7/26

ii) Numbers which are divisible by 3 or 5 ={3,5,6,9,10, 12,15,18,20, 21, 24,25,27,30} (total:14)

Probability=14/26=7/13

iii) neither divisible by 5 nor by 10
={6,7,8,9,11,12,13,14,16,17,18,19,21,22,23,24,26,27,28,29} (total: 20)
Probability= 20/26= 10/13