Given a fair standard deck of cards. Two cards are drawn from the deck of cards. The first card drawn is the Ace of Spades.

Question

The probability the second card drawn is the Queen of Hearts is:

 

(A) 1/52 (B) 1/51 (C) 1/2652 (D) 2/2652 (E) None of these

Answer 1

Hi Mark, the answer is it depends. The answer depends on whether the first card, the Ace of Spaces is replaced in the deck.

 

Answer 1, Ace of Spaces is not replaced in the deck:

 

If the Ace of Spaces is not replaced in the deck, that leaves 51 cards in the deck.

 

Probability of drawing the Queen of Hearts is: 1 / 51.

 

Answer 2, Ace of Spaces is replaced in the deck:

 

If the Ace of Spaces is replaced in the deck, the deck will contain 52 cards.

 

Probability of drawing the Queen of Hearts is 1 / 52.

 

Questions?