Question

From a pack of 52 cards one card is drawn. What is the probability that it would be (i) queen, (ii) a card of red, (iii) a king of diamond.​

Answer 1

Step-by-step explanation:

i) King of red colour  can be hearts King or a diamond king. 

So, the possibility is 2.

P(Red king)=522=261 

ii) A face card can be jack, queen, king of any suite.

 In this way we will get 3×4=12 face cards.

P(Face card)=5212=133

iii) A red face card can be either hearts or diamond king, jack or queen, which means there are 3×2=6

P(Red face card)=526=263

iv) There is only one Jack of hearts. 

P(Jack of hearts)=521

v) There are 13 spades in total. 

So, P(Spade)=5213=41

vi) There is only one queen diamond. 

Hence, P(Queen diamond)=521

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