# 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

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