nightrider

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.tvb now,tvbnow,bttvb; k" V: ]1 O! r$ |" t
TVBNOW 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。8 p6 r4 q8 f# k. C2 a( S
Starting 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.  
. h* j! o! |0 h; v' N: ?7 JTVBNOW 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。6 e" a* u5 I$ x5 ~3 |  m6 G
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.TVBNOW 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。% B# Z* a; x2 U6 G/ m# N
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#3 did the obvious choice 40 divided by 2 =20, so he picked 20
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8 q3 ]. G2 o0 z#4 base on knowing the median rule take 60 divided by 3 =20, so he picked 20 as well.2 g# L9 o- f; l7 [+ K. _$ {5 D& Z

/ N" Y. a. R# |/ N+ v. r, _0 W#5 same as above, he takes 80 divided by 4 =20, picked 20 as well.8 k/ x, @) j, t$ A8 Z/ }
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Ended all have the same number and all died.