Question

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 Help guys...!!

Answer 1

A deck of playing cards consists of 52 cards out of which 26 are black cards and other 26 are red cards, where red cards consists of 13 cards of heart♥, 13 cards of diamond♦ and black cards consists of 13 cards of spades ♠and 13 cards of club♣.

52 playing cards are divided into four parts (called suits) 13 cards each namely heart, Diamond, spade and club.

13 cards in each suit are king, queen, Jack, 10, 9 ,8 ,7 ,6 ,5 ,4 ,3 &2.

King, queen and jack are called face cards ,so total face cards= 12

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Solution:

Total numbers of outcomes= 52

(i) Numbers of king of red colour = 2
Probability of getting a king of red colour = 2/52 = 1/26

P( red king) = 1/26


(ii) Numbers of face cards = 12
Probability of getting a face card = 12/52 = 3/13

P(face card)= 3/13


(iii) Numbers of red face cards = 6
Probability of getting a red face card = 6/52 = 3/26

P(red face card)= 3/26


(iv) Numbers of jack of hearts =1
Probability of getting a jack of heart = 1/52

P(jack of heart)= 1/52


(v) Numbers of king of spade = 13
Probability of getting a king of spade = 13/52 = 1/4

P(king spade)=1/4


(vi) Numbers of queen of diamonds = 1
Probability of getting a queen of diamond = 1/52

P(queen diamond) = 1/52

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Hope this will help you....