Question

In: Statistics and Probability

A five-card poker hand dealt from a standard 52-card deck of playing cards is called a...

A five-card poker hand dealt from a standard 52-card deck of playing cards is called a three-of-a-kind hand if it contains exactly three cards of the same rank (e.g. 3 aces and 2 other cards). How many distinct three-of-a-kind hands can be dealt with? Calculate a numeric answer.

Solutions

Expert Solution

Total distinct hands = 13C1 * 12C2 * 4C3 * 4C1 * 4C1 = 13 * 66 * 4 * 4 * 4 = 54912 (ans)

                                                                                                                                                                                                                                

orchestra answered 1 year ago
Next > < Previous

Related Solutions

You are dealt a hand of five cards from a standard deck of 52 playing cards....
You are dealt a hand of five cards from a standard deck of 52 playing cards. Calculate the probability of the given type of hand. (None of them is a recognized poker hand.) (a) Mixed royal meeting: One of each type or royal card (king, queen, jack, ace) of different suites, and a last non-royal card (neither king, queen, jack or ace). Enter a formula. Examples: C(5,3)C(33,3)/C(14,2) C(5,3)C(33,3)C(4,1)/C(100,100) (b) Red and black double royal wedding: A red king, a red...
You are dealt a hand of five cards from a standard deck of 52 playing cards....
You are dealt a hand of five cards from a standard deck of 52 playing cards. Calculate the probability of the given type of hand. (None of them is a recognized poker hand.) 1. Double royal interracial wedding: Two kings of one color, two queens of the other color, and a last non-royal card (neither king, queen, jack or ace). Solve using a formula. Examples:  C(5,3)C(33,3)/C(14,2) or C(5,3)C(33,3)C(4,1)/C(100,100)
A poker hand consists of five cards randomly dealt from a standard deck of 52 cards....
A poker hand consists of five cards randomly dealt from a standard deck of 52 cards. The order of the cards does not matter. Determine the following probabilities for a 5-card poker hand. Write your answers in percent form, rounded to 4 decimal places. Determine the probability that exactly 3 of these cards are Aces. Answer:  % Determine the probability that all five of these cards are Spades. Answer:  % Determine the probability that exactly 3 of these cards are face cards....
A poker hand consists of five cards randomly dealt from a standard deck of 52 cards....
A poker hand consists of five cards randomly dealt from a standard deck of 52 cards. The order of the cards does not matter. Determine the following probabilities for a 5-card poker hand. Write your answers in percent form, rounded to 4 decimal places. Determine the probability that exactly 3 of these cards are Aces. Answer: % Determine the probability that all five of these cards are Spades. Answer: % Determine the probability that exactly 3 of these cards are...
A) A poker hand consists of five cards randomly dealt from a standard deck of 52...
A) A poker hand consists of five cards randomly dealt from a standard deck of 52 cards. The order of the cards does not matter. Determine the following probabilities for a 5-card poker hand. Write your answers in percent form, rounded to 4 decimal places. Determine the probability that exactly 3 of these cards are Aces. Answer: % Determine the probability that all five of these cards are Spades. Answer: % Determine the probability that exactly 3 of these cards...
A poker hand consists of 5 cards dealt from an ordinary deck of 52 playing cards....
A poker hand consists of 5 cards dealt from an ordinary deck of 52 playing cards. How many different hands are there consisting of four cards of one suit and one card of another​ suit?
A hand of 13 cards is dealt from a standard deck of 52 playing cards. What...
A hand of 13 cards is dealt from a standard deck of 52 playing cards. What is the probability that it contains more spades (♠) than hearts (♡) given that the hand contains at least two spades?
A five-card poker hand is dealt from a standard deck. What is the probability that it...
A five-card poker hand is dealt from a standard deck. What is the probability that it is a “three-of-a-kind” (three cards with matching faces values, while the other two cards have non-matching face values)? Leave your answer in combinatorial form, clearly indicating (in words) what each term in your answer corresponds to.
Five cards are dealt from a standard 52 card deck Determine the number of possible outcomes...
Five cards are dealt from a standard 52 card deck Determine the number of possible outcomes we could obtain What is the probability we draw Any flush (five cards of same suit) Four of a kind ( four cards of all the same rank)
1. In the game of poker, five cards from a standard deck of 52 cards are...
1. In the game of poker, five cards from a standard deck of 52 cards are dealt to each player. Assume there are four players and the cards are dealt five at a time around the table until all four players have received five cards. a. What is the probability of the first player receiving a royal flush (the ace, king, queen, jack, and 10 of the same suit). b. What is the probability of the second player receiving a...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT