(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.

The following is an excerpt from a slide presentation. today we will inverse operations solving equations using inverse operations solving inequalities using inverse operations from which part of the presentation does the slide most likely come from? a. introduction b. outline c. body d. conclusion

You have a linux system that has a 1000gb hard disk drive, which has a 90gb partition containing an ext4 filesystem mounted to the / directory and a 4gb swap partition. currently, this linux system is only used by a few users for storing small files; however, the department manager wants to upgrade this system and use it to run a database application that will be used by 100 users. the database application and the associated data will take up over 200gb of hard disk space. in addition, these 100 users will store their personal files on the hard disk of the system. each user must have a maximum of 5gb of storage space. the department manager has made it very clear that this system must not exhibit any downtime as a result of hard disk errors. how much hard disk space will you require, and what partitions would you need to ensure that the system will perform as needed? where would these partitions be mounted? what quotas would you implement? what commands would you need to run and what entries to /etc/fstab would you need to create? justify your answers.

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