Q. 9 4.3( 3 Votes )

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

Answer :

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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