[機統] 台大98 工數(D)
題目如下
A and B are playing a game as follow.
First,A and B pick their own numbers uniformly from {1,2,3,4,5}
and {1,3,8},resprctively.
Assume that A's number (say a1)is smaller than or equal
B's number(say b1),then A gets on dollar.
Whoever gets one dollar(in this case,A)can pick an new number,say a2,
for the next run using his uniform distribution.
Whoever does not get one dollar(in this case,B)will use a new
number b2 = b1-a1 for the next run.
The same rule applies to B.(Note that it is possible that both
get one dollar in the same run).Let A and B play this game for
an infinite number of time,
what is the ratio of A's money and B's money at the end
of the game?
a)3:5 b)3:4 c)5:3 d)5:4
題目很長，大概的意思就是，A自{1,2,3,4,5}選一數，B自{1,3,8}中選一數
數字較小者贏並獲得一元，
贏家重新挑選一個數字，輸家則使用(大數字-小數字)為下回合使用數字
雙方數字相等則都獲得一元，雙方皆重新挑選一個數字
則最後A跟B的錢比值是?
翻譯大概是這樣，不知道有沒有錯>o<
請高手能幫我解惑一下了
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 123.194.24.76
→
02/12 18:42, , 1F
02/12 18:42, 1F
推
02/12 19:27, , 2F
02/12 19:27, 2F
→
02/12 21:03, , 3F
02/12 21:03, 3F
→
02/13 00:01, , 4F
02/13 00:01, 4F
→
02/13 00:11, , 5F
02/13 00:11, 5F