Two people are standing across from each other with a solid wall in between, so they can not see each other. Each has a fair coin. At each turn of the game, each will flip his coin and allow it to land on the floor. At the same time, each will try to guess out loud whether the other person's coin is heads or tails. What is a strategy that maximizes the probability that BOTH players are correct, and what is this probability?
ANSWER:
ReplyDeleteBoth players should always guess the same side of the coin that they have. The chance of both being right will be 50% (either HH or TT). Would be wrong if the split was (HT or TH). Another strategy is to always guess the opposite of what each has, which also yields 50%