A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is
(i) a black king
(ii) either a black card or a king
(iii) black and a king
(iv) a jack, queen or a king
(v) neither a heart nor a king
(vi) spade or an ace
(vii) neither an ace nor a king
(viii) neither a red card nor a queen.
(ix) other than an ace
(x) a ten
(xi) a spade
(xii) a black card
(xiii) the seven of clubs
(xiv) jack
(xv) the ace of spades
(xvi) a queen
(xvii) a heart
(xviii) a red card
(xix) neither a king nor a queen
Given: A card is drawn at random from a pack of 52 cards
TO FIND: Probability of the following
Total number of cards = 52
(i) Cards which are black king is 2
We know that PROBABILITY = 
Hence probability of getting a black king is equal to 
(ii) Total number of black cards is 26
Total numbers of kings are 4 in which 2 black kings are also included
Hence total number of black card or king will be 
We know that PROBABILITY =
Hence probability of getting a black cards or a king = 
(iii) Total number of black and a king cards is 2
We know that PROBABILITY =
Hence probability of getting a black cards and a king is
(iv) A jack, queen or a king are 3 from each 4 suits
Total number of a jack, queen and king are 12
We know that PROBABILITY =
Hence probability of getting a jack, queen or a king is = 
(v) Total number of heart cards are 13 and king are 4 in which king of heart is also included.
Total number of cards that are a heart and a kingie equal to
Hence Total number of cards that are neither a heart nor a king= 
We know that PROBABILITY =
Hence probability of getting cards neither a heart nor a king = 
(vi) Total number of spade cards is 13
Total number of aces are 4 in which ace of spade is included in the spade cards.
Hence total number of card which are spade or ace =
We know that PROBABILITY =
Hence probability of getting cards that is spade or an ace =
(vii) Total number of ace card are 4 and king are 4
Total number of cards that are a ace and a king is equal to 
Hence Total number of cards that are neither an ace nor a kin is 
We know that PROBABILITY =
Hence probability of getting cards neither an ace nor a king = 
(viii) Total number of red cards is 26
Total numbers of queens are 4 in which 2 red queens are also included
Hence total number of red card or queen will be
Hence Total number of cards that are neither a red nor a queen= 
We know that PROBABILITY =
Hence probability of getting neither a red card nor a queen is equal to 
(ix) Total number of card other than ace is 
We know that PROBABILITY =
Hence probability of getting other than ace is 
(x) Total number of ten is 4
We know that PROBABILITY =
Hence probability of getting a ten is 
(xi) Total number of spade is 13
We know that PROBABILITY =
Hence probability of getting a spade = 
(xii) Total number of black cards is 26
We know that PROBABILITY =
Hence probability of getting black cards is 
(xiii) Total number of 7 of club is 1
We know that PROBABILITY =
Hence probability of getting a 7 of club is equal to 
(xiv) Total number of jack are 4
We know that PROBABILITY =
Hence probability of getting jack
(xv) Total number of ace of spade is 1
We know that PROBABILITY =
Hence probability of getting a ace of spade
(xvi) Total number of queen is 4
We know that PROBABILITY =
Hence probability of getting a queen
(xvii) Total number of heart cards is 13
We know that PROBABILITY =
Hence probability of getting a heart cards =
(xviii) Total number of red cards is 26
We know that PROBABILITY =
Hence probability of getting a red cards =