Question

Four Cards are drawn at random from a well shuffled pack of 52 cards, find the

probability that

(i) They are a king, a queen, a jack and an ace,

(ii) Two are king and two are queens,

(iii) Two are black and two are red,

(iv) They should be one from each suit.​

Answer 1

Answer:

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Answer 2

Answer:

Step-by-step explanation:

Four cards can be drawn from a well shuffled pack of 52 cards in 52 C 4

ways, which gives the exhaustive number of cases.

(i) 1 king can be drawn out of the 4 kings is 4 C 1 =4 ways. Similarly, 1 queen, 1 jack

and an ace can each be drawn in 4 C 1 =4 ways. Since any one of the ways of

drawing a king can be associated with any one of the ways of drawing a queen,a jack and an ace, the favourable number of cases are 4 C 1 ᙮4 C 1 ᙮4 C 1 ᙮ 4 C 1 .

Hence, required probability =4C 1 ᙮ 4 C 1 ᙮ 4 C 1 ᙮ 4 C 1 /52 C4=256/52 C4

ii) required probability =4C 2 ᙮ 4 C 2/53 C 4

iii) required probability =26C 2 ᙮ 26 C 2 /53 C 4

iv) required probability =13C 1 ᙮ 13 C 1 ᙮13C 1 ᙮ 13 C 1/52 C4