1.

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

Answer»

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

Required to find: Probability of following

Total number of cards is 52

(i) Total number of cards which are king of red suit is 2

Number of favourable outcomes i.e. Total number of cards which are king of red suit is 2

We know that, Probability = Number of favourable outcomes/ Total number of outcomes

Thus, the probability of getting cards which is a king of red suit = 2/52 = 1/26

(ii) Total number of face cards are 12

Number of favourable outcomes i.e. total number of face cards is 12

We know that Probability = Number of favourable outcomes/ Total number of outcomes

Thus, the probability of getting a face cards = 12/52 = 3/13

(iii) Total number of red face cards are 6

Number of favourable outcomes i.e. total number of red face cards is 6

We know that, Probability = Number of favourable outcomes/ Total number of outcomes

Thus, the probability of getting a red face cards = 6/52 = 3/26

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

Total number of favourable outcomes i.e. total number of queen of black suit cards is 2

We know that, Probability = Number of favourable outcomes/ Total number of outcomes

Thus, the probability of getting cards which is a queen of black suit = 2/52 = 1/26

(v) Total number of jack of hearts is 1

We know that, Probability = Number of favourable outcomes/ Total number of outcomes

Thus, the probability of getting a card which is a jack of hearts = 1/52

(vi) Total number of spade cards are 13

Total numbers of favourable outcomes i.e. total number spade cards is 13

We know that, Probability = Number of favourable outcomes/ Total number of outcomes

Thus, the probability of getting a spade card = 13/52 = 1/4



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