15 cards numbered 1, 2,3,..., 14,15 are put in a box and mixed throyghly. Nikita draws a cards from the box. Find the probability that the number on the card is:
(i) even
(ii)    the number is divisible by 2 or 3.
(iii)    the number is neither divisible by 2 nor 3.

274.

A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is

(i)    neither a heart nor a king.
(ii)    either a black card or a king

A bag contains 16 balls out of which x are black :

(i)    If one ball is drawn at random. What is the probability that it will be a black ball ?
(ii)    If 8 more black balls are put in the bag, the probability of drawing a white ball will be double than in (i). Find x.

The king, queen and jack of hearts are removed from a deck of 52 cards and then well shuffled. One card is selected from the remaining cards. Find the probability of getting
(i) the ‘2’of hearts (ii) ‘10’ of red suits.

An unbaised die is thrown. What is the probability of getiing

(i)    a multiple of 3.
(ii)    an even number and a multiple of 3.
(iii)    an even number or a multiple of 3.

A bag contains 35 balls out of which x are blue.

(i) If one ball is drawn at random. What is the probability that it will be a blue ball?
(ii) If 7 more blue balls are put in the bag, the probability of drawing in (i). Find x.