One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting:

Question:

One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting:

(i) a king of red suit

(ii)  a face card

(iii) a red face card

(iv) a queen of black suit

(v) a jack of hearts

(vi) a spade

Solution:

GIVEN: One card is drawn from a well shuffled deck of 52 playing cards

TO FIND: Probability of following

Total number of cards is 52

(i) Cards which are king of red suit are 2

Total number of Cards which are king of red suit is 2

Number of favorable event i.e. Total number of Cards which are king of red suit is 2

We know that PROBABILITY = 

Hence probability of getting cards which are king of red suit is 

(ii) Total number of face cards are 12

Number of favorable event i.e. total number of face cards is 12

We know that PROBABILITY = 

Hence probability of getting face cards is 

(iii) Total number of red face cards are 6

Number of favorable events i.e. total number of red face cards is 6

We know that PROBABILITY = 

Hence probability of getting red face cards is 

(iv) Total number of queen of black suit cards is 2

Total Number of favorable event i.e. total number of queen of black suit cards is 2

We know that PROBABILITY = 

Hence probability of getting cards which are queen of black suit cards is 

(v) Total number of jack of hearts is 1

We know that PROBABILITY = 

Hence probability of getting cards which are jack of heart is equal to

(vi) Total number of spade cards are 13

Total Number of favorable event i.e. total number of queen of black suit cards are 13

We know that PROBABILITY = 

Hence probability of getting spade cards is

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