from a well shuffled pack of 52 card is drawn at random.find the probability that the card drawn is:-
(1) A card of shaped
(2)A red face card
(3)An arc
Answers
Step-by-step explanation:
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.
King of red colour can be hearts King or a diamond king.
So, the possibility is 2.
P(Red king)=
52
2
=
26
1
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)=
52
12
=
13
3
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)=
52
6
=
26
3
iv) There is only one Jack of hearts.
P(Jack of hearts)=
52
1
v) There are 13 spades in total.
So, P(Spade)=
52
13
=
4
1
vi) There is only one queen diamond.
Hence, P(Queen diamond)=
52
1