Question

Q6 A card is drawn from a deck of 52 cards. Find the probability of each of the following: a) A queen b) A spade c) No face cards d) A red Ace​

Answer 1

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

So, the possibility is 2. P (Red king) = 2 1 = 52 26

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

In this way we will get 3 x 4 = 12 face cards. P (Face card) 12 3 = 52/13

iii) A red face card can be either hearts or diamond king, jack or queen, there are 3 × 2 = 6 which means 6/52/3*26/P (Red face card)

iv) There is only one Jack of hearts. P (Jack of hearts) = 1/52

v) There are 13 spades in total. So, P (Spade) 13/1 = 52/4

vi) There is only one queen diamond. Hence, P (Queen diamond) 1/52.

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Answer 2

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

So, the possibility is 2. P (Red king) = 2 1 = 52 26

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

In this way we will get 3 x 4 = 12 face cards. P (Face card) 12 3 = 52/13

iii) A red face card can be either hearts or diamond king, jack or queen, there are 3 × 2 = 6 which means 6/52/3*26/P (Red face card)

iv) There is only one Jack of hearts. P (Jack of hearts) = 1/52

v) There are 13 spades in total. So, P (Spade) 13/1 = 52/4

vi) There is only one queen diamond. Hence, P (Queen diamond) 1/52.