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b:head_first_statistics:calculating_probability

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b:head_first_statistics:calculating_probability [2025/09/15 07:52] – [probability of A given B] hkimscilb:head_first_statistics:calculating_probability [2025/09/15 08:06] (current) – [Probability magnet] hkimscil
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 Duncan’s Donuts are looking into the probabilities of their customers buying donuts and coffee. They drew up a probability tree to show the probabilities, but in a sudden gust of wind, they all fell off. Your task is to pin the probabilities back on the tree. Here are some clues to help you. Duncan’s Donuts are looking into the probabilities of their customers buying donuts and coffee. They drew up a probability tree to show the probabilities, but in a sudden gust of wind, they all fell off. Your task is to pin the probabilities back on the tree. Here are some clues to help you.
   * P(Donuts) = 3/4   * P(Donuts) = 3/4
-  * P(Coffee | Donuts') = 1/3+  * P(Coffee | Donuts) = 1/3
   * P(Donuts ∩ Coffee) = 9/20   * P(Donuts ∩ Coffee) = 9/20
 <wrap>''3/4, 1/4, 2/5, 3/5, 1/3, 2/3''</wrap> <wrap>''3/4, 1/4, 2/5, 3/5, 1/3, 2/3''</wrap>
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 P(c) = 54/120 + 10/120 = 64/120 = 16/30 = 8/15 P(c) = 54/120 + 10/120 = 64/120 = 16/30 = 8/15
  
-c (8/15) --  d [j] +c (8/15) -- d  [j]  [P(d and c) = 9/20]
          -- ~d          -- ~d
 ~c (7/15)  ~c (7/15) 
 +
 j = p(d | c) j = p(d | c)
 p(d and c) = 9/20 이므로 p(d and c) = 9/20 이므로
b/head_first_statistics/calculating_probability.txt · Last modified: 2025/09/15 08:06 by hkimscil

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