17 cards numbered 1, 2, 3, ..., 16, 17 are put in a box and mixed thoroughly. One person draws a card from the box. Find the probability that the number on the card is         
(i) odd.                       
(ii) a prime              
(iii) divisible by 3     
(iv) divisible by 3 and 2 both

17 cards numbered 1, 2, 3, ..., 16, 17 are put in a box and mixed thoroughly. One person draws a card from the box.
(i) The number on the card is odd
   Number of possible outcomes = 17     Number of favorable outcomes = 9 [i.e 1, 3, 5, 7, 9, 11, 13, 15, 17]
∴P( Getting an odd number on the card ) =
(ii) The number on the card is a prime.
    Number of possible outcomes = 17      Number of favorable outcomes = 7 [i.e 2, 3, 5, 7, 11, 13, 17]
∴ P( Getting a prime on the card ) =
(iii) The number on the card is divisible by 3
     Number of possible outcomes = 17      Number of favorable outcomes = 5 [i.e 3, 6, 9, 12, 15]
    ∴ P( Getting a number divisible by 3 ) =
(iv) The number on the card is divisible by 3 and 2.
     Number of possible outcomes = 17      Number of favorable outcomes = 2 [i.e 6, 12]
∴ P(Getting a number divisible by 3 and 2 ) =