We are playing the 'guess 2/3 of the average' game (choosing 0-100). This time, half the players choose completely randomly, and the other half are perfectly rational quants like you. What number do you choose?

大家一起玩'猜平均数三分之二'的游戏，选0-100的数字。但这次一半人完全随机选，另一半人跟你一样是绝对理性的量化研究员。为了赢，你会选多少？