What is the probability that a hand of 9 cards has three cards of one rank, three cards of asecond rank, and three cards of a third rank (for example, three A's, three 4's, and three K's)? A standard deck of playing cards consists of 52 cards. Each card has a rank and a suit. There are 13possible ranks (A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K), 4 possible suits (spades, clubs, hearts, diamonds),and 13 cards in each suit (one of each rank).A hand of 9 cards is drawn from a standard deck of 52 cards (assume all outcomes are equallylikely).For each of the following questions, you should write your answer as an expression. Do not give thefinal numeric value. For example, you should write C(4, 2)/24) instead of 0.375.

Approach to solving the question:To find the probability that a hand of 9 cards has three cards of…

Answered: What is the probability that a hand of…

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter4: Selection Structures

Section: Chapter Questions

Problem 14PP

See similar textbooks

Similar questions

A deck of cards contains 52 cards with four suits: club, diamond, heart and spade ranging in values from 2, ... to 10, Jack, Queen, King and Ace. Ace has the highest value in the same suit. Cards can be compared using the face value. A card with higher face value is bigger than a card with lower face value. If two cards have the same face value, then the suit determines the order. Club is smaller than diamond which is smaller than heart which is smaller than spade. For example: club 2 < diamond 2 < heart 2 < spade 2 if compared. Write an interactive Java program that allows a user to randomly pick a card from the deck of 52 cards (using a random number between 1 and 4 to represent the four suits: club, diamond, heart and spade and then another random number to represent the face value) to play. Show the suit and face value of the user card. Then the program acts as a card dealer which randomly draws another card and displays the card (again showing the suit and face value of…
Lucky Pairs Richie and Raechal are participating in a game called "Lucky pairs" at the Annual Game Fair in their Company. As per the rules of the contest, two members form a team and Richie initially has the number A and Raechal has the number B.There are a total of N turns in the game, and Richie and Raechal alternatively take turns. In each turn, the player's number is multiplied by 2. Richie has the first turn. Suppose after the entire N turns, Richie’s number has become C, and Raechal’s number has become D, the final score of the team will be the sum of the scores (C+D) of both the players after N turns. Write a program to facilitate the quiz organizers to find the final scores of the team. Input and Output Format:The only line of input contains 3 integers A, B, and N.Output a single line that contains the integer that gives the final score of the team which will be the sum of the scores of both the players after N turns.Refer sample input and output for formatting specifications.…
1. Astronomy Board Game In an astronomy board game, N planets in an imaginary universe do not follow the normal law of gravitation. All the planets are positioned in a row. The planetary system can be in a stable state only if the sum of the mass of all planets at even positions is equal to the sum of the mass of planets at the odd positions. Initially, the system is not stable, but a player can destroy one planet to make it stable. Find the planet that should be destroyed to make the system stable. If no such planet exists, then return -1. If there are multiple such planets, then destroy the planet with the smallest index and return the index of the destroyed planet. Example Let N=5 and planets = [2,4,6,3,4]. Destroying the fourth planet of mass 3 will result in planets= [2,4,6,4], and here, the sum of odd positioned planets is (2+6)=8, and the sum of even positioned planets is (4+4)=8, and both are equal now. Hence, we destroy the fourth planet. Function Description Complete the…
Artificial intelligence (Question - 6) ======================= One variation on the game of nim is described in Luger. The game begins with a single pile of stones. The move by a player consists of dividing a pile into two piles that contain an unequal number of stones. For example, if one pile contains six stones, it could be subdivided into piles of five and one, or four and two, but not three and three. The first player who cannot make a move loses the game.(6.1) Draw the complete game tree for this version of Nim if the start state consists of six stones.(6.2) Perform a minimax evaluation for this game. Let 1 denote a win and 0 a loss.
Bowling involves 10 frames. Each frame starts with 10 pins. The bowler has two throws to knock all 10 pins down. The total score is the sum of pins knocked down, with some special rules. For the first 9 frames: If all 10 pins are knocked down on a frame's first throw (a "strike"), that frame's score is the previous frame plus 10 plus the next two throws. (No second throw is taken). If all 10 pins are knocked down after a frame's second throw (a "spare"), that frame's score is the previous frame plus 10 plus the next throw. In the 10th frame, if the bowler's first throw is a strike, or the first two throws yields a spare, the bowler gets a third throw. The 10th frame's score is the previous frame's score plus the pins knocked down in the 10th frame's two or three throws. Given integers represents all throws for a game, output on one line each frame's score followed by a space (and end with a newline). Note that the number of throws may be as few as 11 (strikes in first 9 frames,…
Bowling involves 10 frames. Each frame starts with 10 pins. The bowler has two throws to knock all 10 pins down. The total score is the sum of pins knocked down, with some special rules. For the first 9 frames: If all 10 pins are knocked down on a frame's first throw (a "strike"), that frame's score is the previous frame plus 10 plus the next two throws. (No second throw is taken). If all 10 pins are knocked down after a frame's second throw (a "spare"), that frame's score is the previous frame plus 10 plus the next throw. In the 10th frame, if the bowler's first throw is a strike, or the first two throws yields a spare, the bowler gets a third throw. The 10th frame's score is the previous frame's score plus the pins knocked down in the 10th frame's two or three throws. Given integers represents all throws for a game, output on one line each frame's score followed by a space (and end with a newline). Note that the number of throws may be as few as 11 (strikes in first 9 frames,…
In OCaml Programming Language:
One hundred tickets, numbered 1, 2, 3, . . . , 100, are sold to 100 different people for a drawing.Four different prizes are awarded, including a grand prize. How many ways are there to awardthe prizes if:a) the person holding ticket 35 wins the grand prize?b) the person holding ticket 64 wins one of the prizes?c) the person holding ticket 18 does not win a prize?d) the people holding tickets 30 and 50 both win prizes?
The card game “War” is played by the following rules (you may have learned different rules. Use these): - Each player gets half of the deck of cards (in our case, a set of random integers with value 1-13) - The game itself is played in a series of “rounds”. In each round: o Both players draw a card, putting it into the “reward pile” (and removing it from their hand). o If one player’s card is higher than another, they gain all cards in the reward pile (and add it to their hand) o If there is a tie, both players add an additional card to the reward pile (which is not compared - I call this a “penalty card” in my sample run below), and then we begin a new round with a larger reward pile. The next round’s winner will win the entire reward pile (though it is possible to have multiple consecutive ties, leading to a much larger reward pile) - The game ends when a player needs to draw a card and cannot. That player loses. Your task is to implement this game with the player’s hands and the…
Bus Loading Problem. You are in charge of filling busses with passengers at a bus terminal. Each bus has space for ten (10) passengers. Four (4) of those spaces can hold only wheelchair passengers, and the other six (6) can hold only non-wheelchair passengers. Busses and both types of passengers arrive at random. As busses arrive, you are to fill them up with passengers. Once a bus is full (containing 6 non-wheelchair, and 4 wheelchair passengers), it is allowed to leave the terminal, along with its passengers. You are responsible only for loading the passengers on the bus and having the bus depart. You do not need to worry about what happens to the busses or passengers after they leave. Each bus process has available to it the functions ArriveAtTerminal(), OpenDoors(), CloseDoors(), and DepartTerminal(). Each passenger process has available to it the functions ArriveAtTerminal() and GetOnBus(). Executing GetOnBus() loads the passenger on the bus, and the function returns when the…
Texas Hold em poker game 2 to 8 human or computer players Each player has a name and stack of chips Computer players have a difficulty setting: easy, medium, hard Summary of each hand:o Dealer collects ante from appropriate players, shuffles the deck, and deals eachplayer a hand of 2 cards from the deck.o A betting round occurs, followed by dealing 3 shared cards from the deck.o As shared cards are dealt, more betting rounds occur, where each player can fold,check, or raise.o At the end of a round, if more than one player is remaining, players' hands arecompared, and the best hand wins the pot of all chips bet so far. What classes are in this system? What are their responsibilities? Which classes collaborate? Create the Use Cases for this systemCreate a Use Case diagram for this system Draw a class diagram for this system. Include relationships between classes (generalization andassociational).
Problem D: Different Dice Game Consider the following game for two players: The first player rolls a pair of dice of fair six-sided dice. If the two dice show different numbers, the player's score is the larger of the two numbers. Otherwise, the player's score is the sum of the two numbers. At this point, the player is asked if they want to remove their lower die and re-roll one die. If they say no, the player keeps her score and their turn is over. If they say yes, then they roll one more die and the number showing on this die replaces the lower of the original two rolls. Then these two dice rolls are scored accordingly. (For example, if the initial roll was a 2 and 5, if the player doesn't roll again, she gets 5 points. If she does roll again and obtains a 4, her score is still 5. If she rolled again and obtained a 6, her score would be a 6. If she rollwed again and obtained a 5, her score would be a 10.) The second player goes after the first, doing the exact same steps as the first…

SEE MORE QUESTIONS

Recommended textbooks for you

C++ for Engineers and Scientists

Computer Science

ISBN:

9781133187844

Author:

Bronson, Gary J.

Publisher:

Course Technology Ptr

C++ for Engineers and Scientists

Computer Science

ISBN:

9781133187844

Author:

Bronson, Gary J.

Publisher:

Course Technology Ptr

SEE MORE TEXTBOOKS