Friday, June 12, 2009

The Matter/Antimatter Tetrahedron Game

Category theory was abstract, mathy, and difficult, but at least I wasn't losing money studying it. 

This week we're learning game theory, and I've already lost fifty cents. Here's the game: 

You need an odd number of people, each with fifty cents to bet. Each person has a tetrahedron (google it, ignorami) with the sides labeled m+ (for mutron), m- (for anti-mutron), e- (for electron), and e+ (for positron). For ten minutes, roll the tetrahedron and list the particles that land on the bottom. As you go along, m+ and m-cancel each other out when they land next to each other, and e- and e+ similarly cancel each other out. E.g. if you roll the sequence 
m+, e-, m+, m-
the last two cancel, and it turns into 
m+, e-. 
Otherwise, the last roll is simply added onto to sequence. After ten minutes, stop and place your bets. Then do a final roll. Bet on whether most people's final roll will cancel out the previous roll in their sequence or will add onto the sequence. 

How would you bet?  


4 comments:

JCU said...

On first thought, you'd think that whatever the previous roll was, you'd only have a one in four chance of rolling it's opposite. But, that sounds way too easy for a JPP (Julia-posed-problem)so I'll go with ... 50/50. But then, we always had to do a shot after every non-canceled e+ roll.
Dad

JCU said...

YEAH,I was right!

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