In the spirit of the release of Rogue One: A Star Wars Story, this week’s Solve set 54 is all about Star Wars! Solve set 54: Star Wars includes a variety of math such as probability, surface area of a sphere, inequalities, differential equations and more.
Take a look at Problem 1: Obi-Wan in Ten Chance
Jyn Erso, the heroine of Rogue One: A Star Wars Story says, “We’ll take the next chance, and the next, until we win, or the chances are spent.” Suppose there is 90% chance of failure each time you take a chance, but you try up to 20 times. What percentage is closest to your chance of success?
Up for a challenge? Try Problem 5: Sooner or Laser
You see a group of 5 Stormtroopers coming at you from very far away in the distance. Fortunately, they are notoriously inaccurate with their blaster fire, with only 0.1% chance of hitting you in each of their shots. You and the Stormtroopers fire blasters at the same rate, but you are k times as likely to hit your target with each shot. Furthermore, the Stormtroopers walk side-by-side and can therefore create a larger target area. Specifically, if there are nn Stormtroopers left, your chance of hitting one of them is kn10001000kn. The blasters are so powerful that a single hit takes out its target. For what value of k is this a fair match between you and the Stormtroopers (where you have 50% chance of defeating all of them)? Round your answer to the nearest whole number.
Check out this article about math revealing unseen worlds of Star Wars! Using a new computer program, EPFL researchers offer unusual insight into the universe of Star Wars, which includes more than 20,000 characters spread among 640 communities over a period of 36,000 years.