1. Opposition to the problem № 8 «Fair coin»
IYNT 2018
TEAM OF BELARUS
opponent: Maryia Tomashuk

2. Statement
In many cases, disputes are resolved with the coin toss. It is presumes that this procedure gives equal chances of winning to both sides. Investigate how do chances depend on the tossing mechanism and the coin properties.

3. Theory Law of large numbers; Probability theory;
STRENGTHS
WEAKNESSES
Law of large numbers;
Probability theory;
Displacement of barycenter;
No proving of randomness;
Almost no parameters of the coin;

4. Experiment A lot of tosses; Comparing theory and experiment;
STRENGHTS
WEAKNESSES
A lot of tosses;
Comparing theory and experiment;
Analysis of tosses;
Hand and machine set up;
Different coins;
Properties of the coin;
Only one machine (no machine proving probability theory);
No comparing different surfaces using one set ups;
Displacement of the barycenter wasn’t measured

5. Points for the discussion
Displacement of barycenter
Does the material of the coin influence the results
What about physical forces
What is coin made of material and covered with another

6. Thank you for your attention!