The best chance is #3 because all he needs is take #1 + #2 divide by 2. e.g. #1+#2=28 then he take 14. This is the best chance to avoid being highest or lowest and worst case scenario is he equals #1 & #2. However because all 5 knows this simple theory so I think they all died because they all ended up picking the same number of beans.
7 S7 }& F! `4 i! W% `5.39.217.77
4 e2 r9 B. ~. d: ZStarting from #1, he knows he cannot pick anything bigger then 49 because if he did, then #2 only have to leave 3 beans for #3 #4 & #5 then he'll live. e.g. #1 picked 53 then #2 picks 100-53-3=44. then A,C,D,E all died. e.g. #1=53, #2=(100-53-3)=44, #3=1, #4=1, #5=1. The best chance for #1 is to pick anything less then or equal the median 20 (100 divided by 5). In fact anything between 3-20 won't change the result. Let's say #1 pick 20.
- o! P C) p, ^4 m/ X F; n4 b公仔箱論壇
U) t" D3 j4 Z( {! T9 }3 ZTVBNOW 含有熱門話題,最新最快電視,軟體,遊戲,電影,動漫及日常生活及興趣交流等資訊。Now #2 knows whatever he picks, #3 will take the median between him & #1 e.g. now #1 picked 20, if he pick 6 then #3 will pick 13 putting him either being the lowest or highest. He cannot allow that so the best chance is to match #1, so he picked 20 as well.
' a: r; W4 j( O" M" k8 o0 }+ S公仔箱論壇tvb now,tvbnow,bttvb- }. ]5 d, X9 a) U) X, |8 O/ d
#3 did the obvious choice 40 divided by 2 =20, so he picked 20$ ?! F5 p' J; u
" k2 U8 K: I7 ?: Q) X
#4 base on knowing the median rule take 60 divided by 3 =20, so he picked 20 as well.
; W' z. R6 L% ?5 cTVBNOW 含有熱門話題,最新最快電視,軟體,遊戲,電影,動漫及日常生活及興趣交流等資訊。' Z# ]+ H3 W$ u9 M
#5 same as above, he takes 80 divided by 4 =20, picked 20 as well.tvb now,tvbnow,bttvb7 n; S. J6 i4 V* D+ b7 V; m
公仔箱論壇5 U% l/ q6 B3 e; q' t7 {; Q. i
Ended all have the same number and all died. |