AP Computer Science – Chapter 1, assignment 2 Name: _________________ 1. Write a program that plays the Rock-Paper-Scissor game. Have the computer randomly select Rock, Paper, or Scissor and then prompt the user for their choice. First one to win 3 times wins. Display the results after every turn. A sample display is shown below: Enter sissor 1 The computer Enter sissor 2 The computer Enter sissor 0 The computer Enter sissor 2 The computer Enter sissor 1 The computer (0), rock (1), paper (2) is rock, the user is rock, Draw. (0), rock (1), paper (2) Score: user=0, computer=0 is rock, the user is paper,You win. (0), rock (1), paper (2) is paper,the user is sissor, You win. (0), rock (1), paper (2) Score: user=1, computer=0 is sissor, the user is paper,You lose. (0), rock (1), paper (2) is sissor, the user is rock, You win. Score: user=2, computer=0 Score: user=2, computer=1 Score: user=3, computer=1 User wins! 2. Use a Monte-Carlo simulation to verify the value of PI. Using a circle with a radius of 1 and a bounding square with a length of 2. Pick random points within the square and use the distance formula to determine if the point also lies within the circle boundry. Using a ratio of hit counts to total attempts, estimate PI and compare with Math.PI. Try an attempt count of 1,000,000. Try multiple simulations and display the results.