Q2.1 A player wins the jackpot ($98 million) if the first five numbers picked match the numbers on the five white balls (in any order) and the sixth number picked matches the number on the red ball. What is the probability that a player wins the jackpot? 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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- Tic-Tac-Toe For this question, you will be implementing a simple Tic-Tac-Toe game without the graphics. Here is how it works: • First, it is randomly determined if the user starts the game or the computer and this information is shown to the user. The player who starts always starts as "X". • The players (computer and the user) will then take turns in playing. The computer will choose a random empty spot on its turn. The user enters its choice in the console. • Each of the empty spots have a corresponding number that the players choose on their turn. If the user enters anything other than the number of an empty spot (not yet filled with "X" or "O"), it will not be accepted, and they will be prompted to enter a correct number. 2 4 7 8 • After each turn, two things need to be done: 1) displaying the updated board 2) checking if anyone has won (it should be printed who has won – the user or the computer). The game goes on until someone wins or until all the 9 empty spots are filled and no…Description: Raghu and Sayan both like to eat (a lot) but since they are also looking after their health, they can only eat a limited amount of calories per day. So when Kuldeep invites them to a party, both Raghu and Sayan decide to play a game. The game is simple, both Raghu and Sayan will eat the dishes served at the party till they are full, and the one who eats maximum number of distinct dishes is the winner. However, both of them can only eat a dishes if they can finish it completely i.e. if Raghu can eat only 50 kCal in a day and has already eaten dishes worth 40 kCal, then he can't eat a dish with calorie value greater than 10 kCal. Given that all the dishes served at the party are infinite in number, (Kuldeep doesn't want any of his friends to miss on any dish) represented by their calorie value(in kCal) and the amount of kCal Raghu and Sayan can eat in a day, your job is to find out who'll win, in case of a tie print "Tie" (quotes for clarity). Input: First line contains…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…
- Email me the answers to the following questions. If you are not familiar with Peg Solitaire, then look it up online. Peg Solitaire is a game consisting of a playing board with 33 holes together with 32 pegs. In the picture above, the hole in the center is empty and the remaining holes contain pegs. The goal is to remove all the pieces except one, which should be in the center. A piece can be removed by jumping an adjacent piece over it into an empty hole. Jumps are permitted horizontally or vertically, but not diagonally. Your assignment consists of one required part, plus one extra credit part: 1. Explain (in words) why Breadth First Search and Iterative Deepening are not good methods for this problem.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…
- Othello is played as follows: Each Othello piece is white on one side and black on the other. When a piece is surrounded by its opponents on both the left and right sides, or both the top and bottom, it is said to be captured and its color is flipped. On your turn, you must capture at least one of your opponent's pieces. The game ends when either user has no more valid moves. The win is assigned to the person with the most pieces. Implement the object-oriented design for Othello.The Penny Pitch game is popular in amusement parks. Pennies are tossed onto aboard that has certain areas marked with different prizes. For example: The prizes available on this board are puzzle, game, ball, poster, and doll. At the end ofthe game, if all of the squares that say BALL are covered by a penny, the player gets theball. This is also true for the other prizes. The board is made up of 25 squares (5 x 5).Each prize appears on three randomly chosen squares so that 15 squares contain prizes.Create a penny_pitch application that displays a Penny Pitch board (use [ and ] toindicate squares) with prizes randomly placed and then simulates ten pennies being randomly pitched onto the board. After the pennies have been pitched, the applicationshould display a message indicating which prizes have been won, it any.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…
- 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…Stick or roll is a game involving two players, A and B, and a die with four faces (numbered 1, 2, 3, 4). The faces are equally likely to occur when the die is rolled. Player A rolls the die once and sticks with that number as the score or rolls it again and scores the sum of the two numbers. • If A's score is greater than 4 then A loses. • If A's score is 4 then A wins. If A's score is less than 4, then B rolls the die once and sticks with that number as the score or rolls it again and scores the sum of the two numbers. • If B's score is greater than 4 then B loses. • If B's score is 4 or less and equal to A's or less, then B loses. • If B's score is 4 or less and greater than A's, then B wins. Player B sticks on the first roll if that number wins and rolls again if it doesn't win and it is possible to win with a second roll. Some example games might be: • A rolls a 2, chooses to roll again and rolls a 3. A's score is then 5 so A loses and B wins. * A rolls a 2 and chooses not to roll…Pig is a game that has two players that alternate turns rolling dice. In this case, there will be one human player and one computer player. Each player’s goal is to get 100 points rolled on a normal six-sided die first. Each turn consists of rolling the die repeatedly until you decide to stop or until you roll a 1. For each roll: • If you roll a 2, 3, 4, 5, or 6 –you will add the amount rolled to your score.• If you roll a 1 – your turn ends and you receive zero points for that entire turn (You will keep whatever points you had before your turn started)• 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.Use functions to break apart the code into logical portions