What is the probability of each outcome on the red die? A red die and a blue die are thrown. Both dice are loaded (that is, not all sides are equally likely). On the red die, rolling a 3 is half as likely as rolling each of the other five numbers. On the blue die, rolling each even number is twice as likely as rolling each odd number. 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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- 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…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…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:
- 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…Simulate the dice game of lucky sevens. The rules are: roll two dice if the sum equals 7, win $4 if the sum is not 7, lose $1 Write a program that asks the user how much they would like start the game with. The program should then: simulate the dice roll (using the random function) and show what was rolled show what the user’s funds are after each roll ask the user if they want to roll again if the user wants to roll again, repeat the three actions above if the user does not want to roll again give some response and end the game the final output should show if they won or lost money, and how many rolls they playedWrite a game of rock paper scissors, one of the choices will be from the user and the other from the computer (use random) Print results for each game.Play the games in a row until you exit the game. Explain each step as comment.Game rules:Rock crushes scissors, you win.Paper covers rock, you win.Scissors cut paper, you win
- Correct answer will be upvoted else downvoted. You are playing the game "Orchestrating The Sheep". The objective of this game is to make the sheep line up. The level in the game is depicted by a line of length n, comprising of the characters '.' (void space) and '*' (sheep). In one action, you can move any sheep one square to the left or one square to the right, if the relating square exists and is vacant. The game finishes when the sheep are arranged, that is, there ought to be no vacant cells between any sheep. For instance, assuming n=6 and the level is depicted by the string "**.*..", the accompanying game situation is conceivable: the sheep at the 4 position moves to one side, the condition of the level: "**..*."; the sheep at the 2 position moves to one side, the condition of the level: "*.*.*."; the sheep at the 1 position moves to one side, the condition of the level: ".**.*."; the sheep at the 3 position moves to one side, the condition of the level: ".*.**.";…An argument is expressed in English below. Rhys will go to the beach. If Rhys is excited; then Rhys will go to the beach. Rhys is excited. Variable names are assigned to each English phrase as follows: p: Rhys is excited •q: Rhys will go to the beach Is the argument valid? If valid, then indicate which rule is used for the argument. If invalid, then give truth assignments to the variables that prove the argument is invalid. Pick 4. Check NextThere 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. PreviousNext
- It is given 12 balls that are all the same weight except for one that is heavier or lighter. Additionally, it is provided with a two-pan balance. In each scenario, the balance is used. You may place any number of the 12 balls on the left pan and the same number on the right pan and press a button to begin weighing; three alternative results exist: the weights are equal, the balls on the left are heavier, or the balls on the left are lighter. Develop a technique for determining which ball is the odd one out and whether it is heavier or lighter than the others using the fewest feasible uses of the balance. Solve the weighing issue for the situation of 39 balls, one of which is known to be strange.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…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…