[問題] 一題數學問題
題目:
Three distinct verices of a cube are chosen at random. What is the
probability that the plane determined by these three vertices contains points
inside the cube?
Answer: (4/7)
我的計算:
(4*6)/(C8取3)=24/56=3/7
分母:8個頂點任取3個點
分子:The condition is that plane should be inside the cube; only 6 planes meet
the requirement. There are 4 ways of picking up the vertices for each
plane.
不知道是不是我題目讀錯了, 再拜託大家解惑了, 謝謝!
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推
06/07 15:25, , 1F
06/07 15:25, 1F
→
06/07 16:19, , 2F
06/07 16:19, 2F
→
06/07 16:19, , 3F
06/07 16:19, 3F
推
06/07 16:26, , 4F
06/07 16:26, 4F
→
06/07 16:28, , 5F
06/07 16:28, 5F
→
06/07 16:29, , 6F
06/07 16:29, 6F
推
06/07 16:49, , 7F
06/07 16:49, 7F
討論串 (同標題文章)