Integers from 1 to N are randomly generated (as by a computer). Each integer has an equal probability of being selected and unlimited repetition is permitted. As integers are generated, a running sum is recorded. Given any integer k such that 1 LTE k LTE n ( k is between 1 and n), what is the probability that a sum of EXACTLY k will be reached? Take an ordinary deck of cards arranged in any order. How many shuffles are required before the deck returns to its original order? Only the modifi... [More]