A card is drawn at random from a well-shuffled deck of playing cards.

1.	A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is : (i) a card of spade or an ace. (ii) a black king. (iii) neither a jack nor a king. (iv) either a king or a queen.
Answer» (i) Cards of spade or an ace = 13 + 3 = 16 Total no. of cards = 52 P (spade or an ace) = 16/52 = 4/13 (ii) Black kings = 2 P (a black king) = 2/52 =1/26 (iii) Jack or king = 4 + 4 = 8 P (neither jack nor a king) = 1 - 8/52 = (52 - 8)/ 52 = 44/52 = 11/13 (iv) King or queen = 4 + 4 = 8 P (either a king or a queen) = 8/52 = 2/13

A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is : (i) a card of spade or an ace. (ii) a black king. (iii) neither a jack nor a king. (iv) either a king or a queen.

Answer»

(i) Cards of spade or an ace = 13 + 3 = 16

Total no. of cards = 52

P (spade or an ace) = 16/52 = 4/13

(ii) Black kings = 2

P (a black king) = 2/52 =1/26

(iii) Jack or king = 4 + 4 = 8

P (neither jack nor a king) = 1 - 8/52 = (52 - 8)/ 52 = 44/52 = 11/13

(iv) King or queen = 4 + 4 = 8

P (either a king or a queen) = 8/52 = 2/13

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A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is : (i) a card of spade or an ace. (ii) a black king. (iii) neither a jack nor a king. (iv) either a king or a queen.

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