你的結論是對的.

回答: 13球稱重問題的解答是什麽?texastrader2012-12-31 12:43:15

13 球稱3次,有1/12的幾率測不出壞球是輕還是重.12球的解如下,證明我還是沒有患老年癡呆!

稱蛋題正解

 

 

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no drink today, here is the solution:

three groups: A 1234, B 1234, C 1234

first weighing: A vs B

1. if A = B

second weighing C1 + A1 vs C2+C3

1.1 if C1+A1=C2+C3

third weighing A1 vs C4

tells C4 under or over weight

1.2 if C1+A1 < C2+C3

the C1 under weight or C2/C3 over weight

third weighing C2 vs C3 will tell

2. if A1234 < B1234

second weighing A1+B1+C1 vs A2+A3+B2

2.1 if A1+B1+C1 = A2+A3+B2

then A4 under weight or B3/B4 over weight

third weight B3 vs B4 will tell

2.2 if A1+B1+C1 < A2+A3+B2

then A1 under weight or B2 over weight

third weighing A1 vs C1 will tell

2.3 if A1+B1+C1 > A2+A3+B2

then A2/A3 under weight or B1 over weight

third weighing A2 vs A3 will tell

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