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
Total number of outcomes, n(S) = 52
(i) n(E) = 2
(ii) n(E) = 26 + 2 = 28
(iii) n(E) = 2
(iv) n(E) = 12
(v) n(E) = 36
(vi) n(E) = 16
(vii) n(E) = 44
(viii) n(E) = 24
(ix) n(E) = 48
(x) n(E) = 4
(xi) n(E) = 13
(xii) n(E) = 26
(xiii) n(E) = 1
(xiv) n(E) = 4
(xv) n(E) = 1
(xvi) n(E) = 4
(xvii) n(E) = 13
(xviii) n(E) = 26
(xix) n(E) = 44