Q2.3 What is the probability that a player wins $4 by matching the sixth number and at most one of the first five numbers? 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.
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- 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…Kingdom of Trolls is celebrating their Kingdom Day and one of the activities that is taking place is a game where a player rolls a magic ball down the hill on a path with spikes. As the ball rolls down, it strikes a spike and bursts open to release a number of smaller balls (in our simulated game, the number of smaller balls is a randomly generated integer between 2 and 6, inclusive). As the smaller balls further roll down, when one strikes a spike, that ball and all its sibling balls burst and each generates another set of smaller balls (using the same random number already generated for the first roll). The balls keep rolling downhill and striking spikes and bursting into smaller balls until a golden ball is released by one of the bursts. At this time, the game is over and the player is told how many balls were generated during the last burst (including the golden ball). The game is played by two players at a time and the player who had the lowest number of balls generated on the…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…
- 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…The game is played in the magic maze, as shown below. The squares are flaming lava pools. If you try to cross them you will die. The grid lines are passageways and are safe to travel in. You can start at any location on the grid but must travel in the passageways. You may travel as far as you want in any direction, but once you turn, you must repeat that distance and you may only make left turns. You may not reverse direction inside the tight passageways. You must end up at the same spot you started at. If you successful, then you gain a magic coin, which automatically appears. You can start over again and again in a different or same starting spot and earn new magic coins, but the routes you take must differ somehow for each magic coin. That is, no magic coins for the exact same route as previously done. If the route varies in any way (perhaps it is the same starting location and ending location as a previous route, but longer), it will earn a new magic coin. Mad Madame Mim has…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:Create a Minesweeper game that is text-based. Minesweeper is a classic single-player computer game in which a NxN grid contains B mines (or bombs) hidden throughout. The remaining cells are either blank or contain a number. The numbers represent the number of bombs in the eight surrounding cells. The user then finds a cell. If it's a bomb, the player is out.If it is a number, it is displayed. If it is a blank cell, it is exposed, as are all adjacent blank cells (up to and including the surrounding numeric cells). When all non-bomb cells are exposed, the player wins. The player can also mark specific locations as potential bombs.This doesn't affect gameplay, other than to block the user from accidentally clicking a cell that is thought to have a bomb.(Tip for the reader: if you're not familiar with this game, please play a few rounds on line first.)Python tic tac toe. Tic tac toe is a very popular game. Only two players can play at a time. Game Rules Traditionally the first player plays with "X". So you can decide who wants to go with "X" and who wants to go with "O". Only one player can play at a time. If any of the players have filled a square then the other player and the same player cannot override that square. There are only two conditions that may match will be a draw or may win. The player that succeeds in placing three respective marks (X or O) in a horizontal, vertical, or diagonal row wins the game. Winning condition Whoever places three respective marks (X or O) horizontally, vertically, or diagonally will be the winner. Submit your code and screenshots of your code in action. Hints : Have a function that draws the board Have a function that checks position if empty or not Have a function that checks player or won or not expected output:
- 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 ! *creating a roulette wheel. The pockets are numbered from 0 to 36. The colors of the pockets are as follows: Pocket 0 is green. For pockets 1 through 10, the odd-numbered pockets are red and the even-numbered pockets are black. For pockets 11 through 18, the odd-numbered pockets are black and the even-numbered pockets are red. For pockets 19 through 28, the odd-numbered pockets are red and the even-numbered pockets are black. For pockets 29 through 36, the odd-numbered pockets are black and the even-numbered pockets are red. Create a class named RoulettePocket. The class's constructor should accept a pocket number. The class should have a method named getPocketColor that returns the pocket's color, as a string. Demonstrate the class in a program that asks the user to enter a pocket number, and displays whether the pocket is green, red, or black. The program should display an error message if the user enters a number that is outside the range of 0 through 36.Installation of a Shopee Billboard Max. score: 100 You are installing a billboard and want it to be at the maximum height. The billboard will have two steel supports, one on each side. The height of each steel bracket must be equal. You have a number of rebar rods that can be welded together. For example, if the bars are of length 1, 2, and 3, they can be welded together to form a length of 6 brackets. Return the maximum possible installation height of the billboard. Return 0 if the billboard cannot be installed.