1. A standard card deck has 52 cards, 13 cards in each of four \"suits\" (Spades
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Question
1. A standard card deck has 52 cards, 13 cards in each of four "suits" (Spades, Hearts, Clubs and Diamonds). Each "suit" of 13 cards is sequentially "numbered" Ace, 2, 3, 4, 5, 6,7, 8, 9, 10, Jack, Queen, and King. The order of the cards in the deck is randomized by thorough "shuffling" and the cards are placed face down on a table. Without looking at any of the cards in one standard card deck: a) What is the probability that the deck's top card is the King of Hearts (King in the "suit" of Hearts)? b) What is the probability that the deck's bottom card is the King of Hearts? c) What is the probability there is a King of Hearts in the deck? d) What is the probability there is no "King of Hearts" in the deck? If the top card is revealed by turning it over, face up: e) What is the probability that deck's bottom card is the Queen of Hearts if the top card is the King of Hearts? that the deck's top card will be the Ace of Clubs again? has been randomized, what is the probability that the top card on both decks is the f) If the top card is the Ace of Clubs, and the deck is shuffled again, what are the odds g) If there are two identical sets (decks) of cards and the order of the cards in each deck Two of Diamonds?Explanation / Answer
a) P(top card is king of hearts) = 1/52
b) P(bottom card is king of hearts) = 1/52
c) b) P(a king of hearts) = 1/52
d) P(no king of heart ) = 1-1/52 = 51/52
e) P( bottom is queen if top is king ) = P(bottom queen ) * P(top king) = 1/52 * 1/52 = 0.00036
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