Problem 1.Consider the following game. There arenpeople standing in a line, and there aremnclosed boxes,kof the boxes contain prizes. Each next person in the line can open any box and if it contains a prize he'll receive that prize. One person can open only one box. What is the best position in the line to maximize the probability of winning the prize?

Problem 2.Two boxes containnballs each. Suppose you start taking out balls from the boxes, each time choosing a box randomly with probability 1/2 and taking out 1 ball. When you discover that one box is empty, what is the probability that the other box containskballs?