Five cards are drawn from a standard 52 playing card deck. Find the probability of: a)...
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)
Homework Answers
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Five cards are drawn from a standard 52 playing card deck. Find
the probability of:
a)...
1. In a standard five-card draw poker, each player receives 5 cards from a standard deck...
1. In a standard five-card draw poker, each player receives 5 cards from a standard deck of 52 cards. Some possible hands in this game are su d in Table 1 below1 (a) Create a sample space to describe all possible hands Bill can play with Let E be the event that the hand contains at least two cards of the same rank and F be the event that the hand contains at least three cards of the same rank...
A 4-card hand is drawn from a standard deck of 52 playing cards. Find the probability...
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
1. A hand of four cards is drawn from a standard deck of 52 playing cards...
1. A hand of four cards is drawn from a standard deck of 52 playing cards (without re- placement). Determine the probability that the hand contains: (a) four cards of the same value. (e.g. 20, 24, 26, 20). (b) two cards of one value and two cards of another value. (e.g. 3º, 2º, 24, 30) (c) four cards of the same suit. (e.g. 4♡, 2V, AV, K♡). (d) exactly two Queens. (e.g. KV, 36, QO, Qob) (e) exactly three spades....
A standard poker deck of 52 cards has four suits, (symbols C, H, S, and D) and thirteen ranks (sy...
A standard poker deck of 52 cards has four suits, (symbols C, H, S, and D) and thirteen ranks (symbols A, 2, 3, 4, 5, 6, 7, 8, 9, T, J, Q, and K). Every card in the deck has both a value and a suit.1 A poker hand is any set of 5 cards from the standard poker deck. There are some special hands in poker, and these have ranks (i.e. some are better, some are worse). From best...
Five cards are drawn with replacement from a standard deck of 52 cards consisting of four...
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)
Five cards are drawn from a standard 52-card playing deck. A gambler has been dealt five...
Five cards are drawn from a standard 52-card playing deck. A gambler has been dealt five cards-two aces, one king, one 7, and one 6. He discards the 7 and the 6 and is dealt two more cards. What is the probability that he ends up with a full house (3 cards of one kind, 2 cards of another kind)? (Round your answer to four decimal places.) 4. [-/3 Points] DETAILS WACKERLYSTAT7 2.E.149. MY NOTES ASK YOUR TEACHER A large...
5. In a poker game, 5 cards are dealt from a standard 52 card deck that...
5. In a poker game, 5 cards are dealt from a standard 52 card deck that has been well shuffled. You are the only player in this scenario. (Note: if you are not familiar with poker hands, you may want to look up what some of these are online-also check out Chapter 23 in the textbook.) a) How many 5 card hands are possible? b) What is the probability that you are dealt two pairs? c) What is the probability...
discrete structure Recall that a standard deck of 52 cards has 4 suits (hearts, diamonds, spades, and clubs), each of w...
discrete structure
Recall that a standard deck of 52 cards has 4 suits (hearts, diamonds, spades, and clubs), each of which has 13 ranks: 2-10, Jack, Queen, King, and Ace (in order from lowest to highest). Order of cards in a hand does not matter (a) (10 points) A full house is 3 cards of one rank and 2 of another rank. How many full houses are there in a 5-card hand if either the pair or the 3 of...
3 Suppose a deck of playing cards has 52 cards, represented by the set C : C = {1C, 2C, . . . , 1...
3 Suppose a deck of playing cards has 52 cards, represented by the set C : C = {1C, 2C, . . . , 13C, 1D, 2D, . . . , 13D, 1H, 2H, . . . 13H, 1S, 2S, . . . , 13S}. 2 Here C, D, H, or S stands for the suit of a card: ”clubs”, ”diamonds”, ”hearts”, or ”spades”. Suppose five cards are drawn at random from the deck, with all possibilities being equally likely....
thank you in advance 4. I deal myself 3 cards from the standard 52-card deck. Find...
thank you in advance
4. I deal myself 3 cards from the standard 52-card deck. Find the probabilities of each of the following events: a. 2 of a kind (e.g., 2 fives or 2 kings) b. 3 of a kind c. 3 of the same suit (a.k.a a flush, e.g., 3 hearts or 3 clubs) d. 3 cards in consecutive order (a.k.a. a straight, e.g., 2-3-4 or 10-J-Q)
1. In a standard five-card draw poker, each player receives 5 cards from a standard deck of 52 cards. Some possible hands in this game are su d in Table 1 below1 (a) Create a sample space to describe all possible hands Bill can play with Let E be the event that the hand contains at least two cards of the same rank and F be the event that the hand contains at least three cards of the same rank...
1. A hand of four cards is drawn from a standard deck of 52 playing cards (without re- placement). Determine the probability that the hand contains: (a) four cards of the same value. (e.g. 20, 24, 26, 20). (b) two cards of one value and two cards of another value. (e.g. 3º, 2º, 24, 30) (c) four cards of the same suit. (e.g. 4♡, 2V, AV, K♡). (d) exactly two Queens. (e.g. KV, 36, QO, Qob) (e) exactly three spades....
Five cards are drawn from a standard 52-card playing deck. A gambler has been dealt five cards-two aces, one king, one 7, and one 6. He discards the 7 and the 6 and is dealt two more cards. What is the probability that he ends up with a full house (3 cards of one kind, 2 cards of another kind)? (Round your answer to four decimal places.) 4. [-/3 Points] DETAILS WACKERLYSTAT7 2.E.149. MY NOTES ASK YOUR TEACHER A large...
5. In a poker game, 5 cards are dealt from a standard 52 card deck that has been well shuffled. You are the only player in this scenario. (Note: if you are not familiar with poker hands, you may want to look up what some of these are online-also check out Chapter 23 in the textbook.) a) How many 5 card hands are possible? b) What is the probability that you are dealt two pairs? c) What is the probability...
discrete structure
Recall that a standard deck of 52 cards has 4 suits (hearts, diamonds, spades, and clubs), each of which has 13 ranks: 2-10, Jack, Queen, King, and Ace (in order from lowest to highest). Order of cards in a hand does not matter (a) (10 points) A full house is 3 cards of one rank and 2 of another rank. How many full houses are there in a 5-card hand if either the pair or the 3 of...
thank you in advance
4. I deal myself 3 cards from the standard 52-card deck. Find the probabilities of each of the following events: a. 2 of a kind (e.g., 2 fives or 2 kings) b. 3 of a kind c. 3 of the same suit (a.k.a a flush, e.g., 3 hearts or 3 clubs) d. 3 cards in consecutive order (a.k.a. a straight, e.g., 2-3-4 or 10-J-Q)
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