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ONU Problem of the Week

The ONU Problem of the Week is a regular feature in the Northern Review, provided by the Department of Mathematics and Statistics (graphic/sagu.edu).

The ONU Problem of the Week is a regular feature in the Northern Review, provided by the Department of Mathematics and Statistics (graphic/sagu.edu).

Randy loves playing ping pong with his mom and dad. In any individual game he has a better chance of defeating his dad than he has of defeating his mom. He often plays three-game series in which he is declared the series winner if and only if he wins at least two games in a row.

  • Sometimes Randy plays all three games of a series against his mom.
  • Sometimes Randy plays all three games of a series against his dad.
  • Sometimes Randy plays the three games of a series against both his mom and dad, in the order mom-dad-mom.
  • Sometimes Randy plays the three games of a series against both his mom and dad, in the order dad-mom-dad.

Questions:

  1. Which of the above series is Randy most likely to win?
  2. Which of the above series is Randy least likely to win?
  3. Which of the above series is Randy 2nd most likely to win?

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Congratulations to Adam Fox (Pharmacy), AJ Kurdys (Statistics), Andrew Kurtz (Physics), Brian Ruffini (Accounting), Jason Duffey (Computer Science), Jessica Lewe (Statistics, Pharmacy), Josh Couchman (Construction Man), Kaitlin Rubottom (Nursing), Kara Dilts (Management), Kelsey Berning (Marketing), Kenneth Limes (Nursing), Lindsay Black (Statistics), and Takumi Kijima (Statistics), each of whom obtained all 5 points for the previous Problem of the Week. Dilts won the random drawing to receive the $10 gift certificate. 

 

Solutions for this problem must be submitted to Dr. Robinson (or student Zack Goodchild) by Thursday, October 6. Solutions can be slipped under Dr. Robinson’s office door (Mathile 214), handed to the department secretary, sent via email (l-robinson.1@onu.edu), or sent by campus mail. Please include on all submissions your name, major, email address, campus address, and phone number. You must show your work.