(Gambler’s Ruin) Consider a coin-flipping game with two players where player one wins each toss with probability p, and player two wins with probability q = 1−p. Suppose player one has n1 pennies and player two n2 pennies. Assuming an unfair coin (ie, p = 1/2), the probabilities P1 and P2 that players one and two, respectively, will end penniless are P1 = 1−( p q)n2 1−(p q)n1+n2 and P2 = 1−( q p)n1 1−(q p)n1+n2 . Write a program gambler. py that takes two integers n1 and n2 and a float p as command-line arguments and writes the probabilities P1 and P2, separated by a space.

3. ranga ramasesh is the operations manager for a firm that is trying to decide which one of four countries it should research for possible outsourcing providers. the first step is to select a country based on cultural risk factors, which are critical to eventual business success with the provider. ranga has reviewed outsourcing provider directories and found that the four countries in the table that follows have an ample number of providers from which they can choose. to aid in the country selection step, he has enlisted the aid of a cultural expert, john wang, who has provided ratings of the various criteria in the table. the resulting ratings are on a 1 to 10 scale, where 1 is a low risk and 10 is a high risk. john has also determined six criteria weightins: trust, with a weight of 0.3; quality, with 0.2; religious, with 0.1; individualism, with 0.2; time, with 0.1; and uncertainity, with 0.1. using the factor-rating method, which country should ranga select? why? (2 points)