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.! G0 W$ E$ r5 F8 }, c! b
/ m( i/ \9 A1 x! N公仔箱論壇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. 1 A9 m0 |9 l) V, D) `5 ?4 } n
5 q% ^5 b3 i. z6 v4 M% e& Z5 vNow #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.
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#3 did the obvious choice 40 divided by 2 =20, so he picked 20
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+ a- ?) z, D+ o- n% r公仔箱論壇#4 base on knowing the median rule take 60 divided by 3 =20, so he picked 20 as well.
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! ~3 ^/ j/ \0 |/ 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。#5 same as above, he takes 80 divided by 4 =20, picked 20 as well.公仔箱論壇8 X5 Z" k+ f! B+ X
3 a/ ]. O% v* g) o& ]2 i公仔箱論壇Ended all have the same number and all died. |