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1 card is drawn at random from the pack of 52 cards. (i) Find the Probability that it is an honor card. (ii) It is a face card.Choices:- 4/13,3/13 3/13,3/13 4/52,3/52 3/52,3/52

Question

1 card is drawn at random from the pack of 52 cards. (i) Find the Probability that it is an honor card. (ii) It is a face card.Choices:- 4/13,3/13 3/13,3/13 4/52,3/52 3/52,3/52

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Solution 1

(i) An honor card in a deck of cards refers to any card of 10 or above. So, this includes 10, Jack, Queen, King, and Ace. Each suit (hearts, diamonds, clubs, spades) has 5 honor cards. Since there are 4 suits, there are 4*5 = 20 honor cards in a deck of 52 cards. So, the probability of drawing an honor card is 20/52 = 10/26 = 5/13.

(ii) A face card in a deck of cards refers to Jack, Queen, or King. Each suit has 3 face cards. Since there are 4 suits, there are 4*3 = 12 face cards in a deck. So, the probability of drawing a face card is 12/52 = 3/13.

So, the correct choice is 5/13, 3/13.

This problem has been solved

Solution 2

(i) An honor card in a deck of cards refers to any card of Jack or higher. This means any card that is a Jack, Queen, King, or Ace. In each suit (hearts, diamonds, clubs, spades), there are 4 honor cards. Since there are 4 suits, this means there are 4*4 = 16 honor cards in a deck of 52 cards. So, the probability of drawing an honor card is 16/52 = 4/13.

(ii) A face card in a deck of cards refers to any card that is a Jack, Queen, or King. In each suit, there are 3 face cards. Since there are 4 suits, this means there are 4*3 = 12 face cards in a deck of 52 cards. So, the probability of drawing a face card is 12/52 = 3/13.

So, the correct choice is 4/13, 3/13.

This problem has been solved

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