You play a game of cards with a friend. From a well-shuffled standard pack of 52 cards, he deals each of you five cards.
a.) What is the probability that all your five cards are of the same suit? (There are 4 suits with 13 cards in each suit.)
b.) You pick up two of your cards and find that they are both spades. What is the conditional probability that all your five cards are of the same suit?
a) The probability that all your five cards are of the same suit


b) The conditional probability that all your five cards are of the same suit given that they are both spades


You play a game of cards with a friend. From a well-shuffled standard pack of 52...
3. Bob has a pack of well-shuffled 52 cards, and keeps picking cards out at random until he draws the Ace of spades. What is the that the Ace of Spades is the 25th. card to be pulled out itf: A. Bob discards each of the first 24 cards after he pulls it out? probability B. Bob replaces each card he pulls out if it is not the Ace of Spades?
You have a standard deck of 52 cards that is made up of four suits (spades, hearts, diamonds and clubs). Each suit has 13 distinct cards known as denominations (ace, king, queen, jack, ten, nine, ..., three and two). "Bridge" is a card game that evenly deals the entire deck to four players. What is the probability that a bridge hand contains one card of each denomination (i.e., 13 cards with one ace, one king, one queen, ..., one three...
In a game of bridge, the 52 cards of a conventional pack are distributed at random be- tween the four players in such a way that each player receives 13 cards. What is the probability that a hand in bridge contains 6 spades, 3 hearts, 2 diamonds and 2 clubs?
A card player is dealt a 13 card hand from a well-shuffled, standard deck of 52 cards. What is the probability that the hand is void in at least one suit (“void in a suit” means having no cards of that suit)?
A students selects five cards from a well-shuffled deck of cards in a gambling game. Let Y be the number aces that appear among the cards selected. What is the probability that all aces in the deck appear among the cards selected? Write your answer to five decimal places. e.g. 1.50001, 0.21212 etc
An ordinary deck of 52 cards of four suits. The queen of spades is randomly drawn and removed from the well shuffled deck. What is the conditional probability p that one card drawn randomly from the remaining deck will be a face card or a club?
Five cards are drawn with replacement from a standard deck of 52 cards consisting of four suits of thirteen cards each. Calculate the probability that the five cards result in a flush (all five cards are of the same suit and round to the fourth decimal)
Suppose that 4 cards are drawn from a well-shuffled deck of 52 cards. What is the probability that all 4 are spade?
In how many ways can a standard deck of 52 cards be shuffled so that the first 13 cards are all spades (there are only 13 spades in the deck)?
There are 52 cards in a deck. 26 are red, and 26 are black. The 52 cards make up four suits (hearts, diamonds, spades, clubs). There are 13 of each suit (ace-10, jack, queen, king). Essentially it is a fair deck of cards. a) What is the probability of drawing the 10 of clubs or a king, and then a spade? b) What is the probability of drawing a 7 or a heart, and then a 10 of hearts or...