In the game Mastermind, one player guesses a four-color code (represented by pegs). There are 9 colors to choose from. The order of the colors matters, and let's say the code has four unique colors. Define the events Y, B, and R as follows: Y: The third peg is yellow. B: The first peg or the third peg is blue. R: The code contains a red peg and white peg consecutively (in that order). a Calculate the probability of each event: p(B), p(R), and p(Y) b What is p(BY)? c What is p(BIR)? d What is p(R/Y)? e Consider all pairs of events: (B,Y). (B, R), and (R,Y). Which pairs are events are independent and which pairs are not independent? Justify your answers using one of the independence tests we learned.
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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…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…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:
- 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: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…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.
- 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…canMove(int x, int y, int destX, int destY, Side s): This method returns true if the player of color s can move the piece at coordinates (x,y) can move to coordinates (destX, destY) on the board in its current state. This means that here you do need to consider this piece’s interaction with other pieces on the board. Conditions for this method to return false are given in the code. public boolean canMove(int x, int y, int destX, int destY, Side s){ /* TODO write a method that checks if a piece at coordinates x,y can move to coordinates destX,destY Conditions for false: - Origin or destination coordinates are outside the board - Piece at origin is null - If source and destination coordinates are the same - Piece at origin is not of the same side as s - You can check this using piece.getSide() - Piece cannot move to the destination by piece movement rules - You should check this using Piece.canMove(destX,…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…3. Suppose you have been hired to develop a musical chair game. In this game there will be 7 participants and all of them will be moving clockwise around a set of 7 chairs organized in a circular manner while music will be played in the background. You will control the music using random numbers between 0-3.lf the generated random number is 1, you will stop the music and if the number of participants who are still in the game is n, the participants at position (n/2) will be eliminated. Each time a participant is eliminated, a chair will be removed and you have to print the player names who are still in the game. The game will end when there will be only one participant left. At the end of the game, display the name of the winner. [Hint: You will need to invoke a built-in method to generate a random number between 0 (inclusive) to 3 (inclusive)] Use Python languageThe Spider Game Introduction: In this assignment you will be implementing a game that simulates a spider hunting for food using python. The game is played on a varying size grid board. The player controls a spider. The spider, being a fast creature, moves in the pattern that emulates a knight from the game of chess. There is also an ant that slowly moves across the board, taking steps of one square in one of the eight directions. The spider's goal is to eat the ant by entering the square it currently occupies, at which point another ant begins moving across the board from a random starting location. Game Definition: The above Figure illustrates the game. The yellow box shows the location of the spider. The green box is the current location of the ant. The blue boxes are the possible moves the spider could make. The red arrow shows the direction that the ant is moving - which, in this case, is the horizontal X-direction. When the ant is eaten, a new ant is randomly placed on one of the…