Why not throw away game A and just play the best coin within game B?
In one sense, this question is similar to question 13 dressed up in a different guise. So again we can say that keeping one coin, and throwing away the other coins, completely destroys the interesting dynamics. However, let’s go one step further and point out that in many real life situations you can’t simply “throw away” the bad bits and keep the best. For example, your DNA sequence is stuck with many bad genes that you might have inherited. Your body does not have the ability to slice out the bad bits and throw them away. However, during gene expression, if some stochastic mechanism or “Parrondo effect” happened to be favouring expression of good sequences over bad ones, that would be a more feasible hypothesis to start testing.