Professor Sofya oers you a chance to get an A++ in the course by playing a simple game. She gives you 50 cookies with white chocolate chips, 50 cookies with dark chocolate chips, and 2 empty identical containers. She asks you to put these 100 cookies into the two containers. For each cookie, you must decide which container to put it in. Then you will be blindfolded, and the positions of the containers will be mixed up. After that, you can choose one container and take ONE cookie. (All cookies feel identical to the touch, and you are not allowed to modify them in any way.) If the cookie you took has dark chocolate chips, you get an A++ for the course. Otherwise,you have to do all homework assignments and take three exams to earn at most A.Figure out which cookies to put in each container so that you have the greatest prob-ability of choosing a cookie with dark chocolate chips.