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.
But wait! There’s more math in the Star Wars universe.

 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.

Need some encouragement in the slumps of winter? Teacher Paul P has got you covered with his Jedi Math Practices! Below is one of our favorites.
Before we go, may the Mass times Acceleration be with you!


Solve set 54: Star Wars