1. A hand of four cards is drawn from a standard deck of 52 playing cards...
The following question involves a standard deck of 52 playing cards. In such a deck of cards there are four suits of 13 cards each. The four suits are: hearts, diamonds, clubs, and spades. The 26 cards included in hearts and diamonds are red. The 26 cards included in clubs and spades are black. The 13 cards in each suit are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This means there are four...
Consider a standard 52-card deck of cards. In particular (for those unfamiliar with playing cards), the deck contains 4 aces, 4 kings, 4 queens, 4 Jacks, 4 10's, 4 94, 4 84, 4 7's, 4 6's, 4 5's, 4 4's, 4 3, and 4 2's, where for each type of card (for example ace), one of the 4 copies is of suit club, one is of suit heart, one is of suit spade, and one is of suit diamond. Consider...
A standard deck of cards consists of four suits (clubs, diamonds, hearts, and spades), with each suit containing 13 cards (ace, two through ten, jack, queen, and king) for a total of 52 cards in all. How many 7-card hands will consist of exactly 3 kings and 2 queens?
A hand of 5 cards is dealt from a deck of 52 playing cards. What is the probability that the hand contains: a) two spades and two hearts b) two aces and a spade c) at least two spades
Five cards are drawn from a standard 52 playing card deck. Find the probability of: a) Straight (5 consecutive enumeration) b) Flush (5 cards of the same suit) c) Exactly two pair d) Exactly 3 of a kind e) A full house (three of a kind and a pair)
Question:You are randomly dealt 5 cards from a standard deck of 52 playing cards. What is the probability that you have at least 4 cards of the same suit?My solution: 4 [ P(4 of the same suit) ] - because there are 4 different ways to get 4 of the same suit, Clubs, Hearts, Spades and Diamonds.P(4 of the same suit) = (13 C 4 * 39 C 1)/(52 C 5)13 Choose 4 because you have 13 different cards in...
A 4-card hand is drawn from a standard deck of 52 playing cards. Find the probability that the hand contains the given cards. exactly 4 diamonds
3. Four cards are to be drawn (no replacement) at random from a standard deck (52 cards). (a) P(All 4 cards will be aces) (b) P(There will be no aces) (c) P(All 4 will be one suit) (d) P(All 4 cards will be same colour: Red or Black) = .
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)
An ordinary deck of playing cards has 52 cards. There are four suitslong dashspades, hearts, diamonds, and clubslong dashwith 13 cards in each suit. Spades and clubs are black; hearts and diamonds are red. One of these cards is selected at random. Let A denote the event that a red card is chosen. Find the probability that a red card is chosen, and express your answer in probability notation. The probability that a red card is chosen is _____=______