Write a program that lets the user guess whether the flip of a coin results in heads or tails. The program randomly generates an integer theta or 1, which represents head or tail. The program prompts the user to enter a guess and reports whether the guess is correct or incorrect. Revise Listing 3.8 Lottery java to generate a lottery of a three-digit number. The program prompts the user to enter a three-digit number and determines whether the user wins according to the following rules: if the user input matches the lottery number in the exact order, the award is $10,000. If all digits in the user input match all digits in the lottery number, the award is $3,000. If one digit in the user input matches a digit in the lottery number, the award is $1,000. Write a program that displays a random coordinate rectangle is centered at (0, 0) with width 100 and height 200. Write a program that plays the popular scissor rock paper game. (A scissor can cut a paper, a rock can knock a scissor, and a paper can wrap a rock.) The program randomly generates a number theta, 1, or 2 representing scissor rock, and paper. The program prompts the user to enter a number theta, 1, or 2 and displays a message indicating whether the user or the computer wins, loses, or draws. Here is a sample run