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  3. in many carnival games such as soda toss with rings...

Question: in many carnival games such as soda toss with rings...

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In many carnival games, such as Soda Toss with Rings, the owner sets up a game and people pay a small fee to play. If they win, they get a reward (such as a teddy bear). Your task is to help design a new carnival game by writing a Python program to simulate the new game to ensure that the owner would make a profit in a long run In this new carnival game, square grids are drawn on the ground. The distance between lines is d mm. Players would throw the $2 toonie coins into the grid (of very large size). If the toonie touches or crosses any line, they lose the toonie; if it does not touch any line, they would get a reward worth $r from the owner (note, the owner still keeps the toonie in this case). See an illustration below For example, if d70 mm (which is about the size of the popular square post-it notes) and r (taking away $2 bet, the player gets $4, or doubles his/her bet), would the owner make money? In this case, three coins touch the lines and two do not. The owner would end up with 5*2 - 24- $2, a small gairn You need to write a Python program to simulate the game Your program would take the input as follows (lets assume that input is always valid, and the inputoutput of your program are in bold below) Please enter the distance between lines (in mm) Please enter the reward if the customer wins (in $)Then your program would simulate 1,000 toonie tosses, and count how many times the toonies touch or not touch the lines, and then how much the owner would gain or lose at the end of the 1000 toonie tosses. Note the diameter of a standard tonnie is 28 mm If the owner has a profit, your program would output the amount of money gained For the simulation of 1000 toonie tosses, you get $... If the owner loses money, your program would output the amount of money lost: For the simulation of 1000 toonie tosses, you lose $ Note that this problem could be solved analytically with math without simulation, but in this assignment you must run simulation with Python to solve it. This is because many real-world problems are too complex to have analytical solutions. The recent AlphaGo also use a Monte Carlo tree search algorithm (Monte Carlo means simulation) because it is too huge to analyze the whole game trees pythonto solve it This is beausu march igocithmHint: To simulate the random landing of the toonies, you will need to use a simple loop statement (for) and a random number function called random), which generates a uniformly distributed random number that is 0 and <1. Copy/paste the following Python code to your PyCharm to see the outcome: # A sample program with loop and random numbers from random import random for i in range(100): # loop 100 times #print a random number between 0 and 1 print(random()) print(20*random()) #print a random number between 0 and 20 print() # print a blank line printDone) Although the code above can generate random numbers between 0 and any given number, you need to think hard on how to use this to simulate a random coin toss, or a random coin landing. Also, how to deal with the grid? How to simplify the problem? This is the problem solving and abstraction that we emphasize in the lecture. See the last few slides in ch04 for another example of running simulations to estimate the value of pi. What You Will Submit and Be Marked On: 1. A 1-2 page written part (with Word, text, PDF file) about: A brief problem-solving process you use in designing and implementing your Python programs The output of your program when d 70 and r 6 for toonies. You can copy/paste from the Output window. Show a few different outcomes of d and r, some of which the owner makes money, some loses money Discuss what good values d and r for the owner would be in your opinion? Write down your reasoning supported by the outcome of your Python program.

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