1. Write a python code that rolls three 6 sided dice. If the sum is eleven and any of the dice are an even number, declare a winner. The program should roll dice until there is a win. 2. Compute the sum of the series 1 with n=1 to 200. 200 ni 3. Compute the sum of the even numbers from n=2 to 1.000. 1000 reven n=2 4. Perform numerical integration of the function f(x)=sin(x) over the interval o to pi/2. Use Simpson's 1/3 rule with n=32, 64, and 128 intervals. Report the solutions and the true errors for each n. 5. Perform Romberg integration on the solutions from 4. Report the solution and the true error