Q2 The Powerball Lottery 15 Points The Powerball lottery is based on a random drawing of six balls from two machines. One machine contains 69 white balls (labeled 1 through 69) and the other machine contains 26 red balls (labeled 1 through 26). To determine the winning numbers, the gamemaster draws five white balls from the first machine and one red ball (the "Powerball") from the second machine (assume all outcomes are equally likely). A player in the Powerball lottery picks five different numbers between 1 and 69 (inclusive) and a sixth number between 1 and 26 (inclusive), which may duplicate one of the first five numbers. For each of the following questions, you should write your answer as an expression. Do not give the final numeric value. For example, you should write C(4, 2)/24) instead of 0.375. Q2.2 What is the probability that a player wins $100 by matching exactly four of the first five numbers (in any order), but not the sixth number?
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- Nim is a two-player game played with several piles of stones. You can use as many piles and as many stones in each pile as you want, but in order to better understand the game, we'll start off with just a few small piles of stones (see figure 1 below). Pile 1 Pile 1 Pile 2 The two players take turns removing stones from the game. On each turn, the player removing stones can only take stones from one pile, but they can remove as many stones from that pile as they want (please note, a player must remove atleast 1 stone from a pile during his/her turn). If they want, they can even remove the entire pile from the game! The winner is the player who removes the final stone (avoid taking the last stone - see figure 2 below). Pile 2 Pile 3 Pile 3 Let's say its Max (player 1) turn to play. Then Max can win by simply removing a stone from Pile 2 or Pile 3 Draw a game tree (upto depth level 2) for the given version of the Nim game. Please consider figure 1 as your initial game configuration/state…Game Description: Pig is a game that has two players (in our case one human and one computer) that alternate turns. Each player’s goal is to get 100 points rolled on a normal six-sided die first. Each turn consists of the rolling the die repeatedly until you get a 1 or decide to stop. As long as you roll a 2-6, you will add this amount to your total for that turn. But if you roll a 1 during your turn, your turn ends and you receive zero points for that entire turn (erasing all of the progress you made since you last agreed to stop). If you decide to stop rolling at any point in your turn, your points for that turn are then added to the overall score. The overall score is then safe from future rolls. The trick is knowing how long to push it before we should stop and save our gains. See end of this document for an example of a game of pig we should write coding as below In order to explore what is the best strategy for the computer player (i.e. at what score do we stop each computer…You are hired by a game design company and one of their most popular games is The Journey. The game has a ton of quests, and for a player to win, the player must finish all the quests. There are a total of N quests in the game. Here is how the game works: the player can arbitrarily pick one of the N quests to start from. Once the player completes a quest, they unlock some other quests. The player can then choose one of the unlocked quests and complete it, and so on. For instance, let’s say that this game had only 4 quests: A, B, C, and D. Let’s say that after you complete • quest A, you unlock quests [B, D]. • quest B, you unlock quests [C, D]. • quest C, you unlock nothing [ ]. • quest D, you unlock quest [C]. Is this game winnable? Yes, because of the following scenario: The player picks quest A to start with. At the end of the quest A, the unlocked list contains [B, D]. Say that player chooses to do quest B, then the…
- THIS MUST BE DONE IN CORAL: Cracked Egg Game: There are a dozen eggs in a basket; some are hard boiled and some are raw. The object of this game is for the user to guess the number of hard-boiled eggs prior to playing the game. The computer then simulates cracking all 12 eggs, using a random number 0 or 1 to simulate raw or hard boiled. The number 0 should represent raw eggs and the number 1 should represent hard boiled. The computer must keep track of the number of hard-boiled eggs. At the conclusion of cracking all 12 eggs, the actual number of hard boiled is compared to the user’s guess, and whether the user won or lost is given as output. The goal of this milestone is to use Coral to program one of the loops you will need for your finalized program in Project Two. This will help you define the logic, flow, and sequence of the game. For this work, you will write code in Coral for your selected programming game by accessing the activity in the zyBook. Note that links for each are…Description: The game is a single player scenario, in which the player’s army needs to defeat the enemy’s (AI’s) army. There are 4 possible troops for an army: Archers, Spearman, Cavaliers, Footman. Each troop has some attributes and some actions. And to avoid excessive programming and calculation, we want to treat these troops as squadrons. The player always starts with 10 squadrons of their choices: they can choose any combinations of the 4 possible troop types. Each squadron should have 100 members of that troop type. Each turn, the player is allowed to choose one of their squadrons and perform an action which is allowed by that troop type. Player and the AI take turns to make actions. The game continues until either the player or the AI has no troops left. Troop Types and Descriptions: Archers: should be able to attack from range with no casualties, meaning the attack action should not cause any damage to themselves. They should be pretty fragile to anything themselves. They…A video player plays a game in which the character competes in a hurdle race. Hurdles are of varying heights, and the characters have a maximum height they can jump. There is a magic potion they can take that will increase their maximum jump height by unit for each dose. How many doses of the potion must the character take to be able to jump all of the hurdles. If the character can already clear all of the hurdles, return . Example The character can jump unit high initially and must take doses of potion to be able to jump all of the hurdles. Function Description Complete the hurdleRace function in the editor below. hurdleRace has the following parameter(s): int k: the height the character can jump naturally int height[n]: the heights of each hurdle Returns int: the minimum number of doses required, always or more Input Format The first line contains two space-separated integers and , the number of hurdles and the maximum height the character can jump naturally.The…
- You have a maze with obstacles and non-zero digits in it: 9+ 7 8 + 4 1 2 3 4 5 You can start from any square, walk in the maze, and finally stop at some square. Each step, you may only walk into one of the four neighbouring squares (up, down, left, right) and you cannot walk into obstacles or walk into a square more than once. When you finish, you can get a number by writing down the digits you encounter in the same order as you meet them. For example, you can get numbers 9784, 4832145, etc. The biggest number you can get is 791452384, shown in the picture above. Your task is to find the biggest mumber you can get. Input There will be at most 25 test cases. Each test begins with two integers R and C (2 < R,C < 15, R+C < 30), the number of rows and columns of the maze. The next R rows represent the maze. Each line contains exactly C characters (without leading or trailing spaces), each of them will be either # or one of the nine non-zero digits. There will be at least one non-obstacle…In the Dice Roll game, the player begins with a score of 1000. The player is prompted for the numberof points to risk and a second prompt asks the player to choose either high or low. The player rollstwo dice and the outcome is compared to the player’s choice of high or low. If the dice total is between2 and 6 inclusive, then it is considered “low”. A total between 8 and 12 inclusive is “high”. A total of7 is neither high nor low, and the player loses the points at risk. If the player had called correctly, thepoints at risk are doubled and added to the total points. For a wrong call, the player loses the points atrisk. Create a DiceRollGame application that uses a DRPlayer object based on this specification. TheDRPlayer object should have two Die member variables that represent the dice. The Die class shoulduse a random number generator to determine the outcome in a roll() method. Application outputshould look similar to:In the Dice Roll game, the player begins with a score of 1000. The player is prompted for the numberof points to risk and a second prompt asks the player to choose either high or low. The player rollstwo dice and the outcome is compared to the player’s choice of high or low. If the dice total is between2 and 6 inclusive, then it is considered “low”. A total between 8 and 12 inclusive is “high”. A total of7 is neither high nor low, and the player loses the points at risk. If the player had called correctly, thepoints at risk are doubled and added to the total points. For a wrong call, the player loses the points atrisk. Create a DiceRollGame application that uses a DRPlayer object based on this specification. TheDRPlayer object should have two Die member variables that represent the dice. The Die class shoulduse a random number generator to determine the outcome in a roll() method. Application outputshould look similar to:
- Four in a row is a game in which players take turns adding tokens to the columns on the game board. Tokens fall to the lowest position in the chosen column that does not already have a token in it. Once one of the players has placed four of their tokens in a straight line (either vertically, horizontally, or diagonally), they win the game If the board is full and no player has won, then the game ends in a draw. TASK Using the following class descriptions, create a UML diagram and a version of Four in a row game The game must allow for a minimum of two and maximum of four players The game must allow each player to enter their name(duplicate names should not be accepted) The game should give the players the ability to choose how many rows (between four and ten), and how many columns (between four and ten) the game board should have. The code uses several classes, including "Player", "Board","Game" and exceptions for handling errors such as invalid moves and full columns.…Read this case study carefully ! A team of developers plans to make a game with the adventure genre . To play the game , the user is required to enter a name . The game description is as follows : 1. The player must choose a character ( from 3 optional characters ) at the beginning of the game 2. The character wears a war hat , has a sword weapon , armor , and the ability to attack the opponent strongly . 3. Each character can move forward , backward , left , and right . In addition , characters can perform shooting , hitting , or kicking actions . 4. Users are required to complete challenges in each level as a condition to proceed to the next level . 5. In each level , the character must kill all the monsters in front of or above with the actions he can do 6. As a reward , users can collect items , such as stars , weapons , and power - ups . 7. There are five levels in the game . Create a flowchart to model the gameplay ! *Correct answer will be upvoted else downvoted. Computer science. After painting the white cells of the board, you want to place the maximum number of dominoes on it, according to the following rules: each domino covers two adjacent cells; each cell is covered by at most one domino; if a domino is placed horizontally (it covers two adjacent cells in one of the rows), it should cover only red cells; if a domino is placed vertically (it covers two adjacent cells in one of the columns), it should cover only blue cells. Let the value of the board be the maximum number of dominoes you can place. Calculate the sum of values of the board over all 2w possible ways to paint it. Since it can be huge, print it modulo 998244353. Input The first line contains two integers n and m (1≤n,m≤3⋅105; nm≤3⋅105) — the number of rows and columns, respectively. Then n lines follow, each line contains a string of m characters. The j-th character in the i-th string is * if the j-th cell in the i-th row…