host running the game, who knows what’s behind the doors, opens another door, say number 3, which has absolutely nothing. He says to you, “Do you want to switch to door number 2?”. You can decide to switch doors, or stay with your initial choice. You “win” whatever is behind the door you end up choosing. Use a python Jupyter notebook to run simulations of the game to estimate/approximate the expected value of the game if you always switch, and the

host running the game, who knows what’s behind the doors, opens another door, say number 3, which has absolutely nothing. He says to you, “Do you want to switch to door number 2?”. You can decide to switch doors, or stay with your initial choice. You “win” whatever is behind the door you end up choosing. Use a python Jupyter notebook to run simulations of the game to estimate/approximate the expected value of the game if you always switch, and the

EBK JAVA PROGRAMMING

9th Edition

ISBN:9781337671385

Author:FARRELL

Publisher:FARRELL

Chapter9: Advanced Array Concepts

Section: Chapter Questions

Problem 1GZ

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The Monty Hall Cash game costs $12 to play. Once you pay, you have a choice of three doors. Behind one door is $20, behind the other two is absolutely nothing (i.e. $0). You pick a door, say number 1, and the host running the game, who knows what’s behind the doors, opens another door, say number 3, which has absolutely nothing. He says to you, “Do you want to switch to door number 2?”. You can decide to switch doors, or stay with your initial choice. You “win” whatever is behind the door you end up choosing. Use a python Jupyter notebook to run simulations of the game to estimate/approximate the expected value of the game if you always switch, and the expected value if you always stay. OR: Prove that the expected value of this game is greatest when you always switch. Include a full mathematical explanation of all probabilities (no “hand waiving”!) and include any references or sources.
Jack and Jill will play a game called Hotter, Colder. Jill chooses a number from 0 to 100, and Jack makes repeated attempts to guess it. For each guess, Jill will respond with: hotter - if the current guess is closer to her number than the previous guess is colder - if the current guess is farther to her number than the previous guess is same - if the current guess is as far (to her number) as the previous guess is For Jack’s first guess, since there is no previous guess yet, Jill will just answer same. Describe an algorithm or a systematic approach that Jack can follow to win the games faster (fewer guesses). Example: Jill chooses number 40. Note: Jack can guess any number from 0 to 100 at any point of the game. Jack guesses 100. Jill responds same (first guess) Jack guesses 60. Jill responds hotter (60 is closer to 40 than previous guess 100) Jack guesses 80. Jill responds colder (80 is farther from 40 than previous guess 60) Jack guesses…
A high school has 1000 students and 1000 lockers, one locker for each student. On the first day of school, theprincipal plays the following game: She asks the first student to open all the lockers. She then asks the secondstudent to close all the even-numbered lockers. The third student is asked to check every third locker. If it isopen, the student closes it; if it is closed, the student opens it. The fourth student is asked to check every fourthlocker. If it is open, the student closes it; if it is closed, the student opens it. The remaining students continuethis game. In general, the nth student checks every nth locker. If it is open, the student closes it; if it is closed,the student opens it. After all the students have taken turns, some of the lockers are open and some are closed.The program below, when ran, will prompt the user to enter the number of lockers in the school. After thegame is over, the program will output the number of lockers and the lockers numbers of the lockers…
In javascript: Page #1: Greets User 1 (The Word Chooser) and asks for their Name, a word, and the number of wrong guesses they would like to give User 2(The Guesser).User 1 then clicks the "Go" button, which leads to page 2. Page #2: Greets User 2 by telling them the word choosers name and how many guesses they have been given for the word, they initially see a "-" for each unguessed letter, and a counter with remaining bad guesses. They must also be shown previously guessed letters. There is a place for them to enter their name and to guess letters. After all guesses are done, win or lose, the page goes to: Page #3: Congratulates the user, or informs them of their failure to guess the word. This page must show: User 1 Name User 2 Name Word they were trying to guess
Write a program that plays rock paper scissors against the user. Ask the user for what they want to throw (rock, paper, or scissors) and then have the computer randomly pick their throw. Then check to see who wins (or if it’s a tie). You can interpret 1 as rock, 2 as paper, and 3 as scissors if you’d like (or any other combination of numbers). 2. Craps is a dice game played at many casinos. A player rolls a pair of normal six-sided dice. If the initial roll is 2, 3, or 12, the player loses. If the roll is 7 or 11, the player wins. Any other initial roll causes the player to roll for point. That is, the player keeps rolling the dice until either rolling a 7 or re-rolling the value of the initial roll. If the player re-rolls the initial value before rolling a 7, it’s a win. Rolling a 7 first is a loss. Write a program to simulate multiple games of craps and estimate the probability that the player wins. For example, if the player wins 249 out of 500 games, then the estimated probability…
Write a program that will send notification to Warehouse Manger when the inventory of an item become less than 2. If the quantity of the item is greater than 2 then it will display a message of "It's sufficient! Number of items is ", if not, it will send a notification "Need to purchase , quantity is low!". Sample 1: Enter the product name: Mechanical Pen Number of items in inventory: 2 Notification: Need to purchase " Mechanical pen", quantity is low!
Suppose you are a participant in a game show. You have a chance to win a motorbike. You are askedto select one of the 500 doors to open; the motorbike is behind one of the 500 doors; the other remaining doorsare losers and have balloons behind them. Once you select a door, the host of the game show, who knowsexactly what is behind each of the door, randomly opens 480 of the other doors all at once that s/he for sureknows are losing doors and have balloons behind them. Then s/he reoffers you – whether you would like toswitch to the other doors or keep your initial or original selection as before. Now in this case, you are goingto make decision based on probabilistic reasoning. Therefore, whenever you are reoffered by the host to dothe selections among the remaining unopened doors, what is the probability of winning for each of theremaining unopened doors (including your original selection)? Do you want to make a switch based on theprobabilistic reasoning? If you are switching, which…
Suppose you can buy chocolate bars from a vending machine for $1 each.Inside every chocolate bar is a coupon. You can redeem 7 coupons for 1chocolate bar from the machine.For example, if you have $20, you can initially buy 20 chocolate bars.This gives you 20 coupons. You can redeem 14 coupons for 2 additionalchocolate bars. These 2 chocolate bars have 2 more coupons, so you now have atotal of 8 coupons. This gives you enough to redeem for 1 final chocolate bar.Write a recursive function that would accept the amount of dollars andcoupons as its parameters and output the total number of chocolate bars thatcan be bought (including those redeemed via coupons).Write a test program in C++that would allow the user to enter amount of dollarsand then use the recursive function to compute the number of chocolate barsthe user can buy, and output the number to the screen.
In python, a) In the Hi-Lo game, the player begins with a score of 1000. The player is prompted for the number of points to risk and a second prompt asks the player to choose either High or Low. The player’s choice of either High or Low is compared to a random number between 1 and 13, inclusive. If the number is between 1 and 6 inclusive, then it is considered “low”. A number between 8 and 13 inclusive is “high”. The number 7 is neither high nor low, and the player loses the points at risk. If the player had guessed correctly, the points at risk are doubled and added to the total points. For a wrong choice, the player loses the points at risk. Create a HiLo application based on this specification. Application output should look similar to b) Modify the application to allow the player to continue until there are 0 points left. At the end of the game, display the number of guesses the user took before running out of points.
There are 4 balls in a jar (2 black and 2 white). You randomly choose three balls (one by one with no replacement) and paint them according to one of the following methods (a-c) and replace them in the jar. You ask your friend to pick a ball. What is the probability that this ball is white? a. You paint them all black. b. You paint them all the same color as the first ball that is picked c. You look at the majority color (among the 3 selected ones) and paint them all that color. Write a MATLAB code to simulate each of the above 3 cases in MATLAB for 10,000 times and estimate the probability of getting a white ball in each of those cases
On a piano, a key has a frequency, say f0. Each higher key (black or white) has a frequency of f0 * rn, where n is the distance (number of keys) from that key, and r is 2(1/12). Given an initial key frequency, output that frequency and the next 4 higher key frequencies. Output each floating-point value with two digits after the decimal point, which can be achieved by executingcout << fixed << setprecision(2); once before all other cout statements.
vvvHarry has a big wall clock, that got hit while he was playing. Now, the minute hand doesn't rotate by the angle 2π/3600 each second, but now it moves according to different angle x. You can assume that coordinates of the centre of the clock are (0, 0) and the length of the minute hand is l. One endpoint of the minute hand is always located at the clock centre; the other endpoint is initially located at the point (0, l). One second later, Harry observes that this endpoint is at distance d above the x-axis, i.e., the y-coordinate of this endpoint is equal to d. Harry is curious about where the minute hand will be (specifically, its y-coordinate) after t seconds. Because t can be very large, Harry can't wait for that moment. Please help him to write a python code that prints a single line containing the output.Input: 4 2 2Output4Harry has a big wall clock, that got hit while he was playing. Now, the minute hand doesn't rotate by the angle 2π/3600 each second, but now it moves according…