
ESCOT Problem of the Week: Archive of Problems, Submissions, & Commentary 
Try Rock, Paper, Scissors  Part I, Rock, Paper, Scissors  Part II, and Rock, Paper, Scissors  Part III before you do this problem. If you are working on this activity right after Parts I, II, or III, please make sure to quit the ESCOT runner and start it again.This week we will again be playing a threeperson game of Rock, Paper, Scissors. Ed wins if all throws are the same. Angelique wins if all are different. Vicki wins if only two are the same.
 How many points did you assign to each player to make the game fair?
 Were you successful in making the game fair?
 How would you explain why your numbers worked or did not work?
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Only one solution was submitted to this problem, and it was correct. This was a difficult problem that required students to determine more precisely the ratio of wins expected for each player. Students would likely have had to use a more combinatorial analysis unless they could make very good estimates on their simulation results.

Page Solution Page Your Solutions Here! 1. How many points did you assign each player to make the game fair?Ed 6 antelique 3 and vicky 1 2. Were you successful in making the game fair?yes 3. How would you explain why your numbers worked or did not work?It worked because vicky had 3 times more probablity of winning then antilique and antilique had twice as much of probablity of winnning than ed 
Robert M., age 13  Issaquah Middle School, Issaquah, WA
Benjamin W., age 14  Issaquah Middle School, Issaquah, WA