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

Answer 1

Answer:

Given : A standard deck of 52 cards.

To find : The probability of getting

(i) a king of red color

(ii) a face card

(iii) a red face card

(iv) the jack of hearts

(v) a spade

(vi) the queen of diamonds

Solution :

$\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total number of outcome}}$

In a standard deck of 52 cards,

13 diamonds , 13 club , 13 hearts , 13 spade  in which 12 face cards

(i) a king of red color

Favorable outcome  = 2

Total number of outcome = 52

Probability of a king of red color drawn is  

$\text{Probability}=\frac{2}{52}=\frac{1}{26}$

(ii) a face card

Favorable outcome  = 12

Total number of outcome = 52

Probability of a face card drawn is  

$\text{Probability}=\frac{12}{52}=\frac{3}{13}$

(iii) a red face card

Favorable outcome  = 6

Total number of outcome = 52

Probability of a red face card drawn is  

$\text{Probability}=\frac{6}{52}=\frac{3}{26}$

(iv) the jack of hearts

Favorable outcome  = 1

Total number of outcome = 52

Probability of the jack of hearts drawn is  

$\text{Probability}=\frac{1}{52}$

(v) a spade

Favorable outcome  = 13

Total number of outcome = 52

Probability of a spade drawn is  

$\text{Probability}=\frac{13}{52}=\frac{1}{4}$

(vi) the queen of diamonds

Favorable outcome  = 1

Total number of outcome = 52

Probability of the queen of diamonds drawn is  

$\text{Probability}=\frac{1}{52}$

Answer 2

Sol- probability = In a standard deck of 52 cards 13 diamonds , 13 club,13 hearts , 13 spade in face cards