Question

From a well shuffled pack of 52 cards, find the probability that a card drawn at random is
a. a red queen
d. jack of spades
b. a black ace
C. king of hearts​

Answer 1

Answer:

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

Solution To Question ID 465269

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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)=2/52 =1/26

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)= 12/52=3/13

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)= 6/52=3/26

iv) There is only one Jack of hearts.

P(Jack of hearts)= 1/52

v) There are 13 spades in total.

So, P(Spade)= 13/52=1/4

vi) There is only one queen diamond.

Hence, P(Queen diamond)= 1/52