1. Super Smash Bros Melee Aaron Chou, Cluster 5

2. Trophies Collectibles 290 total trophies

3. What is the goal? # of games to collect X trophies starting from Y trophies There is a chance of not receiving a trophy Studied probability and random numbers for good biophysics project

4. How to Collect Trophies Coins--->Slot machine 242 trophies Probability system (242-N)/242

5. Increasing the Bankroll 1v1 battle 5x25 matrix Every win=5 coins Every lose=0 coins

6. Utilizing the program Key of characters 1-25 Input: Character # am “betting” on Character # am fighting Starting # of trophies Desired # of trophies( max 242)

7. Example Character 13 (Mario) beats Character 11(Link)  +5 coins  Spend 1 coin at Slot machine  (242-0 starting trophies)/242  242/242  100% chance for new trophy!

8. Done! One example Output:”Mario and Link fought for 715 games to total 242 trophies! After testing 50 times…  Avg 777.12 games to collect 242 from 0 trophies!

9. Thanks to… All of the teachers in COSMOS- Brad Tom Ryan Dr. Rajeev Singh Dr. Scalettar Dr. Dad-del