NCERT Solution Class X Mathematics Probability Question 14 (Ex 15.1)

Question 14:

One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting

(i) a king of red colour

(ii) a face card

(iii) a red face card

(iv) the jack of hearts

(v) a spade

(vi) the queen of diamonds

Answer:

Total number of cards in a well-shuffled deck = 52

(i) Total number of kings of red colour = 2

P (getting a king of red colour)

= 2/52 = 1/26

(ii) Total number of face cards = 12

P (getting a face card)

= 12/52 = 3/13

(iii) Total number of red face cards = 6

P (getting a red face card)

= 6/52 = 3/26

(iv) Total number of Jack of hearts = 1

P (getting a Jack of hearts)

= 1/52

(v) Total number of spade cards = 13

P (getting a spade card)

= 13/52 = 1/4

(vi) Total number of queen of diamonds = 1

P (getting a queen of diamond)

= 1/52

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