Problem 1. You are playing a version of the roulette game, where the pockets are from 0 to 10and even numbers are red and odd numbers are black (0 is green). You spin 3 times and add up the values you see. What is the probability th at you get a total of 17 given on the first spin you spin a 2? What about a 3? Solve by simulation and analytically.
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- This is for a Java Progrsm problem but If you could fully explain it to me then I should be okay to try to create this program based off your explaination. Thank you! Trigonometry is needed A pipe is to be carried around a right-angled corner of two intersecting corridors. Suppose that the widths of the two intersecting corridors are 5 feet and 8 feet. Your objective is to find the length of the lingest pipe, rounded to the nearest foot, that can be carried level around the right-angled corner. What I have to do is the following: Write a program that prompts the user to input the widths of both the hallways/ The program then outputs the length of the longest pipe, rounded to the nearest foot, that can be carried level around the right-angled cprner. Note that the length of the pipe os goven by l = AB + BC = 8 /SIN 0 (Omega) + 5 / cos 0(Omega), where 0 < > Omega < pi/ 2Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. You have n particular focuses (x1,y1),… ,(xn,yn) on the plane and a non-negative integer boundary k. Each point is a tiny steel ball and k is the draw in force of a ball when it's charged. The draw in power is something very similar for all balls. In one activity, you can choose a ball I to charge it. When charged, all balls with Manhattan distance all things considered k from ball I move to the situation of ball I. Many balls may have a similar facilitate after an activity. All the more officially, for all balls j with the end goal that |xi−xj|+|yi−yj|≤k, we dole out xj:=xi and yj:=yi. An illustration of an activity. Subsequent to charging the ball in the middle, two different balls move to its position. On the right side, the red dab in the middle is the normal situation of those balls. Your errand is to observe the base number of activities to move all balls to a similar…Answer the given question with a proper explanation and step-by-step solution. On a roulette wheel, the pockets are numbered 0 through 36. Each pocket has a color: - Pocket 0 is green - From pocket 1 to 10, the odd pockets are red and the even pockets are black. - From pocket 11 to 18, the odd pockets are black and the even pockets are red. - From pocket 19 to 28, the odd pockets are red and the even pockets are black. - From pocket 29 to 36, the odd pockets are black and the even pockets are red. Write a program that: 1. Ask the user for the number of one of the pockets. 2. If the user entered a number between 0 and 36, it displays the color of the selected pocket. 3. If the user enters a number that is **not** between 0 and 36, the screen should display the message: "Error: the selection was incorrect.". **DO NOT** ask the user for the number again. The program should terminate with the error message displayed in this case.
- 业 In the 8 queens problem, you are to place 8 queens on the chessboard in such a way that no two queens attack each other. That is, there are no two queens on the same row, column, or diagonal. The picture above shows a near solution--the top left and bottom right queens attack each other. We want to solve this problem using the techniques of symbolic Al. First, we need states. What would the best choice be for states? Each queen and its position x Michigan, Illinois, Indiana, etc. How many queens we have placed so far A board with the positions of all the queens that have been placed so far 00 What would the start state be? A single queen's position Crouched, with fingers on the starting line Placing the first queen x An empty board What would the goal state be? CA board with 8 queens placed Ball in the back of the net The positions of all 8 queens A board with 8 queens placed, none attacking each otherv What would the best choice for "edges" or "moves" be? Tiktok Moving a queen from…Casinos have devised different automated mechanical methods for shuffling the cards.One such method divides the deck into to seven piles by placing each card randomlyeither on the top or at the bottom of one pile (i.e. each card has 14 possible placesto choose from). After that, the piles are put together to form the shuffled deck.Is this a good method? Can a gambler utilize this information to his advantage?Correct answer will be upvoted else downvoted. Computer science. You are given three positive (more prominent than nothing) integers c, d and x. You need to track down the number of sets of positive integers (a,b) with the end goal that balance c⋅lcm(a,b)−d⋅gcd(a,b)=x holds. Where lcm(a,b) is the most un-normal various of an and b and gcd(a,b) is the best normal divisor of an and b. Input The primary line contains one integer t (1≤t≤104) — the number of experiments. Each experiment comprises of one line containing three integer c, d and x (1≤c,d,x≤107). Output For each experiment, print one integer — the number of sets (a,b) to such an extent that the above uniformity holds.
- Imagine there are N teams competing in a tournament, and that each team plays each of the other teams once. If a tournament were to take place, it should be demonstrated (using an example) that every team would lose to at least one other team in the tournament.The Monte Carlo method is used in modeling a wide-range of physical systems at the forefront of scientific research today. Monte Carlo simulations are statistical models based on a series of random numbers. Let's consider the problem of estimating Pi by utilizing the Monte Carlo method. Suppose you have a circle inscribed in a square (as in the figure). The experiment simply consists of throwing darts on this figure completely at random (meaning that every point on the dartboard has an equal chance of being hit by the dart). How can we use this experiment to estimate Pi? The answer lies in discovering the relationship between the geometry of the figure and the statistical outcome of throwing the darts. Let's first look at the geometry of the figure. Let's assume the radius of the circle is R, then the Area of the circle = Pi * R^2 and the Area of the square = 4 * R^2. Now if we divide the area of the circle by the area of the square we get Pi / 4. But, how do we estimate Pi by…This problem is taken from the delightful book "Problems for Mathematicians, Young and Old" by Paul R. Halmos. Suppose that 931 tennis players want to play an elimination tournament. That means: they pair up, at random, for each round; if the number of players before the round begins is odd, one of them, chosen at random, sits out that round. The winners of each round, and the odd one who sat it out (if there was an odd one), play in the next round, till, finally, there is only one winner, the champion. What is the total number of matches to be played altogether, in all the rounds of the tournament? Your answer: Hint: This is much simpler than you think. When you see the answer you will say "of course".
- Mr. Naughty loves to play with balls. So, his friend, Mr. Nice, gave him n balls to play the game. Each ball has exactly two numbers (more number and number below). In one move Mr. Naughty can rotate any ball that its bottom is now rising. Mr. Nice knows a small amount of this movements that can make at least half of the balls show the same number at the top. So, in order to win Mr Nice's game, Mr. Naughty has to earn a small amount of it it goes. It is not always possible to make such movements that satisfy what is provided in this case Mr. Naughty should see that it is "Impossible" to make such movements. Help Mr. Naughty win the game using C programming language. Input 3 3 100 100 3 54 Output 1You are a computer research scientist at Tesla, and your task is to create a computer vision application for self-driving cars to detect object and avoid collision. You know that Graham's scan is a method of computing the convex hull of a finite set of points in the plane. You decide to apply this algorithm to achieve the goal of your task. a) Suppose Graham's scan executes n points, where n >= 3. Prove that, at the end of the program, the stack S consists of, from bottom to top, exactly the vertices of convex hull in counter-clockwise order.Correct answer will be upvoted else downvoted. Computer science. You are given two integers n and k. You ought to make a variety of n positive integers a1,a2,… ,a to such an extent that the total (a1+a2+⋯+an) is distinguishable by k and greatest component in an is least conceivable. What is the base conceivable most extreme component in a? Input The primary line contains a solitary integer t (1≤t≤1000) — the number of experiments. The solitary line of each experiment contains two integers n and k (1≤n≤109; 1≤k≤109). Output For each experiment, print one integer — the base conceivable most extreme component in cluster a to such an extent that the aggregate (a1+⋯+an) is distinct by k.