Q1. Let’s play a dice game with a pair of dice following these rules:1. At the beginning, you throw a pair of dice. If the two numbers add up to 5, 6, 7, 8, or 9, thegame immediately stops.2. If your first throw does not meet those 5 totals, you would continue until you get either 11 or12.Get 1000 simulations of this paired dice game. What is the average number of dice throw per game?You can use the sample() function to simulate the dice.
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Q1. Let’s play a dice game with a pair of dice following these rules:
1. At the beginning, you throw a pair of dice. If the two numbers add up to 5, 6, 7, 8, or 9, the
game immediately stops.
2. If your first throw does not meet those 5 totals, you would continue until you get either 11 or
12.
Get 1000 simulations of this paired dice game. What is the average number of dice throw per game?
You can use the sample() function to simulate the dice.
Step by step
Solved in 1 steps
- In the game of blackjack, the cards 2 through 10 are counted at their face values, regardless of suit, all face cards (jack, queen, and king) are counted as 10, and an ace counted as either 1 or 11, depending on the total count of all the cards in a player's hand. The ace is counted as 11 only if the resulting total value all cards in a player's hand. The ace is counted as 11 only if the resulting total value of all cards in a player's hand does not exceed 21, else it is counted as a 1. Using this information write a C++ program that accepts three card values as inputs (a1 corresponding to an ace, a2 corresponding to a two, and so on), calculates the total value of the hand appropriately, and displays the value of the three cards with a printed message.Assume a very good NBA team has a 70% chance of winning in each game it plays. Use simulation to answer these questions, where each iteration of the simulation generates the outcomes of all 82 games. Use simulation with 10,000 iterations to answer the questions. For part a, write your numerical answer with no decimal or commas (e.g., if your computed answer is 101,021.128, write your answer as 101021). For part b, write your probability answer to two decimal places with a leading 0 (e.g., write a probability of 90.02% as 0.90). a. During an 82-game season what is the average length of the team's longest winning streak? The average length of the winning streak is . b. What is the probability that the team has a winning streak of at least 16 games? The probability isThe game Capture is played by two players, First and Second, who take turns to move towards one another on a narrow bridge. Initially, the two players are at opposite ends of the bridge, at a distance of n feet from each other. (Here n is an arbitrary positive integer.) When it is their turn, they are allowed to jump 1, 2, or 3 feet toward each other. The game starts by First making a move first; the game is over when one player is able to capture (jump on top of) the other player. Generalize the problem further to the case when the initial distance is n feetand the players are allowed to jump any (positive) integer number of feet up to k feet. (Here n and k are arbitrary natural numbers.)
- [Medium] Suppose, you have been given a non-negative integer which is the height of a ‘house of cards’. To build such a house you at-least require 8 cards. To increase the level (or height) of that house, you would require four sides and a base for each level. Therefore, for the top level, you would require 8 cards and for each of the rest of the levels below you would require 5 extra cards. If you were asked to build level one only, you would require just 8 cards. Of course, the input can be zero; in that case, you do not build a house at all. Complete the recursive method below to calculate the number of cards required to build a ‘house of cards’ of specific height given by the parameter. public int hocBuilder (int height){ // TO DO } OR def hocBuilder(height):You and your friends decided to hold a “Secret Santa” gift exchange, where each person buys a gift for someone else. To see how this whole thing works, let’s consider the following example. Suppose there are 7 people A, B, C, D, E, F, and G. We denote x → y to mean “x gives a gift to y.” If the gift exchange starts with person A, then they give a gift to E. Then E gives a gift to B. And it is entirely possible that B gives a gift to A; in such a case we have completed a “cycle.” In case a cycle occurs, the gift exchange resumes with another person that hasn’t given their gift yet. If the gift exchange resumes with person D, then they give a gift to G. Then G gives a gift to F. Then F gives a gift to C. Then finally C gives a gift to D, which completes another cycle. Since all of the people have given their gifts, the giftexchange is done, otherwise the gift exchange resumes again with another person. All in all, there are two cycles that occurred during the gift exchange: A → E → B → A…Please read the thickened sentences below In this game, one flyand three frogs are placed randomly on a board with the size 7x7.In each iteration, they move randomlywithin the board, and the simulation stops when one of the frogs eats the fly.Fly and frogs are essentially creatures that can move, make noise, and eat. Frogs can move up to 2squares in any direction, and flies can move up to 1. Frogs make the "Croak! Croak!" sound, and fliesmake "ZzzZZz!". Since frogs should not eat their kind, a function of "isEatable" should also beimplemented in decision making. A variable or function to check if the fly is alive is also required as aterminate condition for simulation.In each iteration, an 'f' character represents frogs' position on board, and an '*' character is used torepresent the position of fly. Java language please I dont want the survival game starting with the code below I want in Java language and like in photos please #functions def GenerateRandomScene(): scenes =…
- You will be given a square chess board with one queen and a number of obstacles placed on it. Determine how many squares the queen can attack. A queen is standing on an chessboard. The chess board's rows are numbered from to , going from bottom to top. Its columns are numbered from to , going from left to right. Each square is referenced by a tuple, , describing the row, , and column, , where the square is located. The queen is standing at position . In a single move, she can attack any square in any of the eight directions (left, right, up, down, and the four diagonals). In the diagram below, the green circles denote all the cells the queen can attack from : There are obstacles on the chessboard, each preventing the queen from attacking any square beyond it on that path. For example, an obstacle at location in the diagram above prevents the queen from attacking cells , , and : Given the queen's position and the locations of all the obstacles, find and print the number of…In class this week, we will work on simulating the game of Yahtzee. In the game of Yahtzee, five dice are tossed, and various combinations of numbers, similar to poker hands, are assigned point values. In the game, dice can be selected and re-tossed, but we will focus on calculating the probabilities for the first toss only. We will also deal only with the "lower half" of the score card in the game. For the interested student, continuing this project to account for the complete rules of play would be an entertaining challenge. Anyone not familiar with Yahtzee should try a web search for the rules of the game. Some sites have applets that let you play online. All you really need to know for this lesson, though, is which combinations are counted. We will call these "hands," as the combinations in poker are called. The hands in Yahtzee are: Three of a Kind (three of one number and two others that are different) Full House (three of one number and two of another number) Four of a Kind…In a classroom election, two presidential candidates, namely, Lisa and Teddy, both garnered the same number of total votes. As such, they decided to play a custom dice game to determine the winner of the election. In this game, a player needs to roll a pair of dice. Teddy will win the game if the sum is odd whereas Lisa will be declared winner if the sum results to even. However, prior to the start of the game, Teddy complained that the custom dice game is biased because according to him, the probability of an even result is 6/11, and for odd - only 5/11. Verify Teddy's claim and evaluate the fairness of the game. CLEAR SOLUTION
- In a classroom election, two presidential candidates, namely, Lisa and Teddy, both garnered the same number of total votes. As such, they decided to play a custom dice game to determine the winner of the election. In this game, a player needs to roll a pair of dice. Teddy will win the game if the sum is odd whereas Lisa will be declared winner if the sum results to even. However, prior to the start of the game, Teddy complained that the custom dice game is biased because according to him, the probability of an even result is 6/11, and for odd - only 5/11. Verify Teddy's claim and evaluate the fairness of the game. A. The game is fair. B. The game is unfair to Lisa. C. The game is unfair to Teddy. D. More information is needed. complete solutionIn a classroom election, two presidential candidates, namely, Lisa and Teddy, both garnered the same number of total votes. As such, they decided to play a custom dice game to determine the winner of the election. In this game, a player needs to roll a pair of dice. Teddy will win the game if the sum is odd whereas Lisa will be declared winner if the sum results to even. However, prior to the start of the game, Teddy complained that the custom dice game is biased because according to him, the probability of an even result is 6/11, and for odd - only 5/11. Verify Teddy's claim and evaluate the fairness of the game. COMPLETE SOLUTIONQCC Casino Royale offers its customers a happy way to go home with big bucks playing its “Dice” game. The Dice game is played by asking customers to roll a pair of dice. If customers roll a seven or 11, they win; any other roll and the customer loses. The odds of rolling a seven is 6 to 1 so that if customers bet 1 dollar and win, they receive 7 dollars. The odds of rolling an eleven are 18 to 1 so that if customers bet 1 dollar and win, they receive 19 dollars. Upon entering the casino, customers must be greeted with an appropriate welcoming message. They must be asked to indicate the amount of money that is in their bankroll to play. Customers cannot enter the casino with a bankroll greater than $1,000. Customers must play the game in rounds of 10 plays and the minimum bet for each play is 5 dollars; the maximum bet is 50 dollars. For each try at rolling the dice, customers must be asked how much they want to bet and for each try must be informed of the result and the…