掷到非 1 停止：期望奖金
Payoff to game
题目详情
You and I are to play a game. You roll a die until a number other than a one appears. When such a number appears for the first time, Ipay you the same number of dollars as there are dots on the upturned face of the die, and the game ends. What is the expected payoff to this game?
解析
停止时出现的点数等价于在 上均匀（因为重复掷 1 会被“删去”）。
因此期望奖金为