What is the probability of being dealt a royal flush ( A,K,Q,J,10, all the same suit)

Question

Question

math Statistics-And-Probability

Answer 1

Answer #1

number of ways to pick A,K,Q,J,10 from same suit =N(pick one of 4 suits and have A,K,Q,J,10)

=C(4,1) =4

number of ways to have 5 cards from 52 =C(52,5)=2598960

therefore probability of being dealt a royal flush =4/2598960 =1/649740

Answer 2

Similar Homework Help Questions

You read in a book on poker that the probability of being dealt a straight (excluding...

You read in a book on poker that the probability of being dealt a straight (excluding a straight flush or royal flush) in a five card poker hand is about 0.00393. Explain in simple language what this means.
18. This is an excellent exercise for practicing counting. Find the number of f hands, dealt...

18. This is an excellent exercise for practicing counting. Find the number of f hands, dealt from a standard 52-card deck, that contain: (a) a royal flush (A-K-Q-J-10 all in one suit); (b) a straight flush (five cards of consecutive denominations all in one suit, but not royal flush); (c) four-of-a-kind (four cards of one denomination and one card of a different de nomination); (d) a full house (three cards of one denomination and t two of a different denomina...
A pinochle deck consists of two copies each of the 9, 10, J, Q, K and...

A pinochle deck consists of two copies each of the 9, 10, J, Q, K and A cards of all 4 suits, for a total of 48 cards. You draw 5 cards at random from a pinochle deck a. what is the probability of drawing a flush ( all 5 cards are the same suit)? b. What is the probability of drawing a full house ( 3 cards of one value, 2 cards of a different value)? Use nCn

R. Given a standard deck of 52 cards with 5 cards being dealt to a player....

R. Given a standard deck of 52 cards with 5 cards being dealt to a player. (a) Find the probability that the player's hand will have all 5 cards as spades. (4 marks) (b) Now find the probability that the player's hand is a flush. Note that a flush is a 5 card poker hand with all 5 cards being the same suit. (4 marks)
5. Assuming a fair poker deal, what is the probability of a (a) royal flush (b)...

5. Assuming a fair poker deal, what is the probability of a (a) royal flush (b) straight flush (c) flush (d) straight (e) two pair See https://en.wikipedia.org/wiki/List_of_poker_hands for the definition of these poker hands.
Casinos use a six deck shoot for their tables. Find the probability of being dealt a...

Casinos use a six deck shoot for their tables. Find the probability of being dealt a blackjack an ace with one of those other face cards K,Q,J)

Assume you are dealt the following hand in poker: K of hearts, Q of hearts, 10...

Assume you are dealt the following hand in poker: K of hearts, Q of hearts, 10 of spades, 3 hearts, 7 clubs. For this set of problems, we are keeping both the K and Q of hearts. So, If you keep the King and Queen of hearts find: P (getting a pair of Kings and/or Queens)…be sure to exclude the probability of getting either three or four Kings or Queens. Also consider the probability of one or two pairs. P(3...
1. Find the probabilities of Poker hands not covered in class. Recall in a Poker game,...

1. Find the probabilities of Poker hands not covered in class. Recall in a Poker game, 5 cards are drawn uniformly at random from a deck of 52 cards. Each deck has 13 denominations ({A, 2, 3, . . . , 10, J Q, K)) and 4 suits (4,◇,0,6 ). In what follows consecutive denominations are But (J,Q,K, A, 21 is not considered consecutive. Find the probabilities of a. Straight Flush (5 cards of consecutive denomination, all of the same...
A euchre deck contains the ranks A, K, Q, J, 10, 9 and 8 of each...

A euchre deck contains the ranks A, K, Q, J, 10, 9 and 8 of each suit (read: clubs, diamonds, hearts, and spades) Hence, the deck contains 28 cards. Mike draws a card one at a time without replacement until he draws either two cards of the same rank or two cards of the same suit. a. What is the probability mike needs to draws until he draws either two cards of the same rank or same suit b. what...

Assume you are dealt the following hand in poker: K of hearts, Q of hearts, 10 of spades, 3 hearts, 7 clubs. For this se...

Assume you are dealt the following hand in poker: K of hearts, Q of hearts, 10 of spades, 3 hearts, 7 clubs. For this set of problems, we are keeping both the K and Q of hearts. So, If you keep the King and Queen of hearts find: P (getting a pair of Kings and/or Queens)…be sure to exclude the probability of getting either three or four Kings or Queens. Also consider the probability of one or two pairs. P(3...