C# (Guess the Number Game) Write a program that plays “guess the number” as follows: Your program chooses the number to be guessed by selecting an int at random in the range 1–1000. The program then displays the following text in a label: A TextBox should be used to input the guess. As each guess is input, the background color should change to red or blue. Red indicates that the user is getting “warmer,” blue that the user is getting “colder.” A Label should display either “Too High” or “Too Low,” to help the user zero in on the correct answer. When the user guesses the correct answer, display “Correct!” in a message box, change the Form’s background color to green and disable the TextBox. Recall that a TextBox (like other controls) can be disabled by setting the control’s Enabled property to false. Provide a Button that allows the user to play the game again. When the Button is clicked, generate a new random number, change the background to the default color and enable the TextBox.

Q3. (Dice Rolling) Write a program that simulates the rolling of two dice. The program should use rand to roll the first die and should use rand again to roll the second die. The sum of the two values should then be calculated. [Note: Each die can show an integer value from 1 to 6, so the sum of the two values will vary from 2 to 12, with 7 being the most frequent sum and 2 and 12 being the least frequent sums.] Figure 7.26 shows the 36 possible combinations of the two dice. Your program should roll the two dice 10,000 times. Use a one-dimensional array to tally the numbers of times each possible sum appears. Print the results in a tabular format. Also, determine if the totals are reasonable (i.e., there are six ways to roll a 7, so approximately one-sixth of all the rolls should be 7). 1 2 3 4 5 1 2 4 6 7 3 4 6 7 3 4 5 7 8 9 4 7 8 9 10 7 8 10 11 7 10 11 12 Row\Col 3.

5. (Algebra: solve 2 X 2 linear equations) You can use Cramer's rule to solve the following 2 X 2 system of linear equation: ax + by = e cx + dy = f ● x = ed - bf bc ad y = af - ec ad bc - Write a program that prompts the user to enter a, b, c, d, e, and f and display the result. If ad- bc is 0, report that The equation has no solution. Enter a, b, c, d, e, f: 9.0, 4.0, 3.0, -5.0, -6.0, -21.0 Enter x is -2.0 and y is 3.0 Enter a, b, c, d, e, f: 1.0, 2.0, 2.0, 4.0, 4.0, 5.0 Enter The equation has no solution