I see your point. A reduction of easily searched places will indeed make it more difficult for B to find the coin, even though B will have a smaller space to search. The question that remains is: given a mathematical description of the search/​hide-space what probability distribution over locations (randomization process) will minimize the probability of B finding the coin.
I see your point. A reduction of easily searched places will indeed make it more difficult for B to find the coin, even though B will have a smaller space to search. The question that remains is: given a mathematical description of the search/​hide-space what probability distribution over locations (randomization process) will minimize the probability of B finding the coin.