For game 2, flip a coin and guess what is shows.<p>If the original coin was heads, your chance to win is still 50%.<p>But if the original was tails, and you only have to guess once correct, your chance to guess wrong twice is only 25%.<p>So a 50% chance of winning half the time and a 75% chance half the time gives you an overall better chance that the 50% of sticking to one answer because it doesn&#x27;t matter.<p>It seems a random guess is the best solution for game 2.