add basic category

add basic category

_freeze/basic/1-dice/execute-results/html.json

@@ -0,0 +1,11 @@
+{
+  "hash": "ba26fa11c8c097bfed3fe1d8ba31a3bf",
+  "result": {
+    "markdown": "---\ntitle: \"1-basic-probability-dice \"\n---\n\n## 1. define  tools\n### 1.1 Dice🎲\n\n::: {.cell execution_count=1}\n``` {.julia .cell-code}\nemoji_dice1=[\"1️⃣\",\"2️⃣\",\"3️⃣\",\"4️⃣\",\"5️⃣\",\"6️⃣\"]\nemoji_dice2=[\"1️⃣\",\"2️⃣\",\"3️⃣\",\"4️⃣\",\"5️⃣\",\"6️⃣\"]\ndice1=Vector(1:6)\ndice2=Vector(1:6)\nshow(dice1)\n```\n\n::: {.cell-output .cell-output-stdout}\n```\n[1, 2, 3, 4, 5, 6]\n```\n:::\n:::\n\n\n::: {.cell execution_count=2}\n``` {.julia .cell-code}\nusing PrettyTables\n\nmatrix=[[i,j] for i in dice1, j in dice2]\ndisplay(matrix)\ntwo_dice_space=vec(matrix)\ntwo_dice_size=length(two_dice_space)\n\"two_dice_size\"=>two_dice_size\n```\n\n::: {.cell-output .cell-output-display}\n```\n6×6 Matrix{Vector{Int64}}:\n [1, 1]  [1, 2]  [1, 3]  [1, 4]  [1, 5]  [1, 6]\n [2, 1]  [2, 2]  [2, 3]  [2, 4]  [2, 5]  [2, 6]\n [3, 1]  [3, 2]  [3, 3]  [3, 4]  [3, 5]  [3, 6]\n [4, 1]  [4, 2]  [4, 3]  [4, 4]  [4, 5]  [4, 6]\n [5, 1]  [5, 2]  [5, 3]  [5, 4]  [5, 5]  [5, 6]\n [6, 1]  [6, 2]  [6, 3]  [6, 4]  [6, 5]  [6, 6]\n```\n:::\n\n::: {.cell-output .cell-output-display execution_count=3}\n```\n\"two_dice_size\" => 36\n```\n:::\n:::\n\n\n## 2.question \n\n### 2.1 两个骰子乘积为4\n```julia\n  cond(arr::Array,cond_number=4)=*(arr...)==cond_number\n```\n\n::: {.cell execution_count=3}\n``` {.julia .cell-code}\ncond1(arr::Array,cond_number=4)::Bool=*(arr...)==cond_number\nres1=filter(arr->cond1(arr),two_dice_space)\nshow(\"两个骰子乘积为4\"=>res1)\nprintln(\"\\n\")\nshow(\"两个骰子乘积为4概率\"=>length(res1)//two_dice_size)\n```\n\n::: {.cell-output .cell-output-stdout}\n```\n\"两个骰子乘积为4\" => [[4, 1], [2, 2], [1, 4]]\n\n\"两个骰子乘积为4概率\" => 1//12\n```\n:::\n:::\n\n\n### 2.2 两个骰子点数合计等于小于 5\n\n::: {.cell execution_count=4}\n``` {.julia .cell-code}\ncond2(arr::Array)::Bool=sum(arr)<=5\nres2=filter(arr->cond2(arr),two_dice_space)\nshow(\"两个骰子点数合计等于小于5\"=>length(res2))\nprintln(\"\\n\")\nshow(\"两个骰子点数合计等于小于5的概率\"=>length(res2)//two_dice_size)\n```\n\n::: {.cell-output .cell-output-stdout}\n```\n\"两个骰子点数合计等于小于5\" => 10\n\n\"两个骰子点数合计等于小于5的概率\" => 5//18\n```\n:::\n:::\n\n\n### 2.3 两个骰子点数合计大于等于 10\n\n::: {.cell execution_count=5}\n``` {.julia .cell-code}\ncond3(arr::Array)::Bool=sum(arr)>=10\nres3=filter(arr->cond3(arr),two_dice_space)\nshow(\"点数合计大于等于10\"=>res3)\nprintln(\"\\n\")\nshow(\"点数合计大于等于10的概率\"=>length(res3)//two_dice_size)\n```\n\n::: {.cell-output .cell-output-stdout}\n```\n\"点数合计大于等于10\" => [[6, 4], [5, 5], [6, 5], [4, 6], [5, 6], [6, 6]]\n\n\"点数合计大于等于10的概率\" => 1//6\n```\n:::\n:::\n\n\n### 2.4 两个骰子点数相同\n\n::: {.cell execution_count=6}\n``` {.julia .cell-code}\ncond4(arr::Array)::Bool=arr[1]==arr[2]\nres4=filter(arr->cond4(arr),two_dice_space)\nshow(\"两个骰子点数相同\"=>res4)\nprintln(\"\\n\")\nshow(\"两个骰子点数相同的概率\"=>length(res4)//two_dice_size)\n```\n\n::: {.cell-output .cell-output-stdout}\n```\n\"两个骰子点数相同\" => [[1, 1], [2, 2], [3, 3], [4, 4], [5, 5], [6, 6]]\n\n\"两个骰子点数相同的概率\" => 1//6\n```\n:::\n:::\n\n\n### 2.5  两个骰子点数合计等于 10\n\n::: {.cell execution_count=7}\n``` {.julia .cell-code}\ncond5(arr::Array)::Bool=sum(arr)==10\nres5=filter(arr->cond5(arr),two_dice_space)\nshow(\"点数合计等于10\"=>res5)\nprintln(\"\\n\")\nshow(\"点数合计等于10的概率\"=>length(res5)//two_dice_size)\n```\n\n::: {.cell-output .cell-output-stdout}\n```\n\"点数合计等于10\" => [[6, 4], [5, 5], [4, 6]]\n\n\"点数合计等于10的概率\" => 1//12\n```\n:::\n:::\n\n\n### 2.6  点数之和被5整除\n\n::: {.cell execution_count=8}\n``` {.julia .cell-code}\ncond6(arr::Array)::Bool=sum(arr)|>d->mod(d,5)==0\nres6=filter(arr->cond6(arr),two_dice_space)\nshow(\"点数之和被5整除\"=>res6)\nprintln(\"\\n\")\nshow(\"点数之和被5整除的概率\"=>length(res6)//two_dice_size)\n```\n\n::: {.cell-output .cell-output-stdout}\n```\n\"点数之和被5整除\" => [[4, 1], [3, 2], [2, 3], [1, 4], [6, 4], [5, 5], [4, 6]]\n\n\"点数之和被5整除的概率\" => 7//36\n```\n:::\n:::\n\n\n",
+    "supporting": [
+      "1-dice_files"
+    ],
+    "filters": [],
+    "includes": {}
+  }
+}

_freeze/basic/1/execute-results/html.json

@@ -0,0 +1,11 @@
+{
+  "hash": "521b3e8805bd0249765284ca1cab2aff",
+  "result": {
+    "markdown": "---\ntitle: \"1-basic-probability \"\n---\n\n## 1. define  tools\n### 1.1 Dice🎲\n\n::: {.cell execution_count=1}\n``` {.julia .cell-code}\nemoji_dice1=[\"1️⃣\",\"2️⃣\",\"3️⃣\",\"4️⃣\",\"5️⃣\",\"6️⃣\"]\nemoji_dice2=[\"1️⃣\",\"2️⃣\",\"3️⃣\",\"4️⃣\",\"5️⃣\",\"6️⃣\"]\ndice1=Vector(1:6)\ndice2=Vector(1:6)\nshow(dice1)\n```\n\n::: {.cell-output .cell-output-stdout}\n```\n[1, 2, 3, 4, 5, 6]\n```\n:::\n:::\n\n\n::: {.cell execution_count=2}\n``` {.julia .cell-code}\nusing PrettyTables\n\nmatrix=[[i,j] for i in dice1, j in dice2]\ndisplay(matrix)\ntwo_dice_space=vec(matrix)\ntwo_dice_size=length(two_dice_space)\n\"two_dice_size\"=>two_dice_size\n```\n\n::: {.cell-output .cell-output-display}\n```\n6×6 Matrix{Vector{Int64}}:\n [1, 1]  [1, 2]  [1, 3]  [1, 4]  [1, 5]  [1, 6]\n [2, 1]  [2, 2]  [2, 3]  [2, 4]  [2, 5]  [2, 6]\n [3, 1]  [3, 2]  [3, 3]  [3, 4]  [3, 5]  [3, 6]\n [4, 1]  [4, 2]  [4, 3]  [4, 4]  [4, 5]  [4, 6]\n [5, 1]  [5, 2]  [5, 3]  [5, 4]  [5, 5]  [5, 6]\n [6, 1]  [6, 2]  [6, 3]  [6, 4]  [6, 5]  [6, 6]\n```\n:::\n\n::: {.cell-output .cell-output-display execution_count=265}\n```\n\"two_dice_size\" => 36\n```\n:::\n:::\n\n\n## 2.question \n\n### 2.1 两个骰子乘积为4\n```julia\n  cond(arr::Array,cond_number=4)=*(arr...)==cond_number\n```\n\n::: {.cell execution_count=3}\n``` {.julia .cell-code}\ncond1(arr::Array,cond_number=4)::Bool=*(arr...)==cond_number\nres1=filter(arr->cond1(arr),two_dice_space)\nshow(\"两个骰子乘积为4\"=>res1)\nprintln(\"\\n\")\nshow(\"两个骰子乘积为4概率\"=>length(res1)//two_dice_size)\n```\n\n::: {.cell-output .cell-output-stdout}\n```\n\"两个骰子乘积为4\" => [[4, 1], [2, 2], [1, 4]]\n\n\"两个骰子乘积为4概率\" => 1//12\n```\n:::\n:::\n\n\n### 2.2 两个骰子点数合计等于小于 5\n\n::: {.cell execution_count=4}\n``` {.julia .cell-code}\ncond2(arr::Array)::Bool=sum(arr)<=5\nres2=filter(arr->cond2(arr),two_dice_space)\nshow(\"两个骰子点数合计等于小于5\"=>length(res2))\nprintln(\"\\n\")\nshow(\"两个骰子点数合计等于小于5的概率\"=>length(res2)//two_dice_size)\n```\n\n::: {.cell-output .cell-output-stdout}\n```\n\"两个骰子点数合计等于小于5\" => 10\n\n\"两个骰子点数合计等于小于5的概率\" => 5//18\n```\n:::\n:::\n\n\n### 2.3 两个骰子点数合计大于等于 10\n\n::: {.cell execution_count=5}\n``` {.julia .cell-code}\ncond3(arr::Array)::Bool=sum(arr)>=10\nres3=filter(arr->cond3(arr),two_dice_space)\nshow(\"点数合计大于等于10\"=>res3)\nprintln(\"\\n\")\nshow(\"点数合计大于等于10的概率\"=>length(res3)//two_dice_size)\n```\n\n::: {.cell-output .cell-output-stdout}\n```\n\"点数合计大于等于10\" => [[6, 4], [5, 5], [6, 5], [4, 6], [5, 6], [6, 6]]\n\n\"点数合计大于等于10的概率\" => 1//6\n```\n:::\n:::\n\n\n### 2.4 两个骰子点数相同\n\n::: {.cell execution_count=6}\n``` {.julia .cell-code}\ncond4(arr::Array)::Bool=arr[1]==arr[2]\nres4=filter(arr->cond4(arr),two_dice_space)\nshow(\"两个骰子点数相同\"=>res4)\nprintln(\"\\n\")\nshow(\"两个骰子点数相同的概率\"=>length(res4)//two_dice_size)\n```\n\n::: {.cell-output .cell-output-stdout}\n```\n\"两个骰子点数相同\" => [[1, 1], [2, 2], [3, 3], [4, 4], [5, 5], [6, 6]]\n\n\"两个骰子点数相同的概率\" => 1//6\n```\n:::\n:::\n\n\n### 2.5  两个骰子点数合计等于 10\n\n::: {.cell execution_count=7}\n``` {.julia .cell-code}\ncond5(arr::Array)::Bool=sum(arr)==10\nres5=filter(arr->cond5(arr),two_dice_space)\nshow(\"点数合计等于10\"=>res5)\nprintln(\"\\n\")\nshow(\"点数合计等于10的概率\"=>length(res5)//two_dice_size)\n```\n\n::: {.cell-output .cell-output-stdout}\n```\n\"点数合计等于10\" => [[6, 4], [5, 5], [4, 6]]\n\n\"点数合计等于10的概率\" => 1//12\n```\n:::\n:::\n\n\n### 2.6  点数之和被5整除\n\n::: {.cell execution_count=8}\n``` {.julia .cell-code}\ncond6(arr::Array)::Bool=sum(arr)|>d->mod(d,5)==0\nres6=filter(arr->cond6(arr),two_dice_space)\nshow(\"点数之和被5整除\"=>res6)\nprintln(\"\\n\")\nshow(\"点数之和被5整除的概率\"=>length(res6)//two_dice_size)\n```\n\n::: {.cell-output .cell-output-stdout}\n```\n\"点数之和被5整除\" => [[4, 1], [3, 2], [2, 3], [1, 4], [6, 4], [5, 5], [4, 6]]\n\n\"点数之和被5整除的概率\" => 7//36\n```\n:::\n:::\n\n\n",
+    "supporting": [
+      "1_files"
+    ],
+    "filters": [],
+    "includes": {}
+  }
+}

_freeze/basic/2-marble/execute-results/html.json

@@ -0,0 +1,11 @@
+{
+  "hash": "326c70e02db5e7178bdc27acf3b18398",
+  "result": {
+    "markdown": "---\ntitle: \"2-basic-probability-marble\"\n---\n\n## 1. define  tools\n### 1.1 Marble\n\n\n\n\n## 2. question\n### 2.1 包内有🔴:4\\n 🔵:3\\n 🟢:7,连续取出两个红球的概率\n\n概率路径图:\n\n```{mermaid}\n%%| fig-width: 6.5\nflowchart LR\n    Urn[\"👜\"]---bag(\"🔴:4\\n 🔵:3\\n 🟢:7\")\n    bag==>bag2(\"🔴:3\\n 🔵:3\\n 🟢:7\")\n    bag==r1:4/14 ==>r1(\"🔴\")\n    bag2==r2:3/13 ==>r2(\"🔴\")\n    \n```\n\n\n>连续取出两个红球,等于第一次取出红球的概率和第二次取出红球的概率乘积\n>\n>因为第一取出红球以后,包内的红球数和总球数都发生了改变,红球变为 3, 总的为 13\n\n::: {.cell execution_count=1}\n``` {.julia .cell-code}\nr1=4//14\nr2=3//13\nboth_red=r1*r2\n\"连续取出两个红球的概率\"=>both_red\n```\n\n::: {.cell-output .cell-output-display execution_count=16}\n```\n\"连续取出两个红球的概率\" => 6//91\n```\n:::\n:::\n\n\n### 2.2 包内有🔴:15\\n 🔵:18\\n 🟢:10,连续取出两个红球的概率\n和 2.1 方法一样,只不过比例不同\n\n```{mermaid}\n%%| fig-width: 6.5\nflowchart LR\n    Urn[\"👜\"]---bag(\"🔴:15\\n 🔵:18\\n 🟢:10\")\n    bag==>bag2(\"🔴:14\\n 🔵:18\\n 🟢:10\")\n    bag==r1:15/43 ==>r1(\"🔴\")\n    bag2==r2:14/42 ==>r2(\"🔴\")\n    \n```\n\n::: {.cell execution_count=2}\n``` {.julia .cell-code}\n\"定义袋子类型\"\nstruct Bag\n    red::Int\n    blue::Int\n    green::Int\nend\n\n\"\"\"\n枚举限定球种类\n@ref:snippetslab://snippet/6016DF64-9B90-420E-83F7-7C6FF7D4A139\n\"\"\"\n@enum Ball red = 1 blue = 2 green = 3\n\nfunction new_bag_space_prob(bag::Bag, pick::Ball=red)::Tuple{Bag,Real}\n    (; red, blue, green) = bag # struct 解构\n    ball = Int(pick) # @enum 类型需要转换为整型\n    prob_size = +(red, blue, green)  # 合计球总数\n    res::Tuple{Bag,Real} = if ball == 1\n        (Bag([red - 1, blue, green]...), red // prob_size)\n    elseif ball == 2\n        (Bag([red, blue - 1, green]...), blue // prob_size)\n    else\n        (Bag([red, blue, green - 1]...), green // prob_size)\n    end\n    return res\nend\n\nbag = Bag(15, 18, 10)\nres1 = new_bag_space_prob(bag, red)\nres2 = new_bag_space_prob(res1[1], red)\nboth_red_ball=res1[2] * res2[2]\n\"有🔴:15,🔵:18, 🟢:10时,取出两个红球的概率\"=>both_red_ball\n```\n\n::: {.cell-output .cell-output-display execution_count=17}\n```\n\"有🔴:15,🔵:18, 🟢:10时,取出两个红球的概率\" => 5//43\n```\n:::\n:::\n\n\n### 2.3 包内有🔴:13  🔵:3  🟢:12,连续取出两个红球的概率\n\n\n```{mermaid}\n%%| fig-width: 6.5\nflowchart LR\n    Urn[\"👜\"]---bag(\"🔴:13\\n 🔵:3\\n 🟢:12\")\n    bag==>bag2(\"🔴:12\\n 🔵:3\\n 🟢:12\")\n    bag==r1:13/28 ==>r1(\"🔴\")\n    bag2==r2:12/27 ==>r2(\"🔴\")\n    \n```\n\n::: {.cell execution_count=3}\n``` {.julia .cell-code}\nbag2 = Bag(13, 3, 12)\nres3 = new_bag_space_prob(bag2, red)\nres4 = new_bag_space_prob(res3[1], red)\nboth_red_ball2=res3[2] * res4[2]\n\"有🔴:13  🔵:3  🟢:12时,取出两个红球的概率\"=>both_red_ball2\n```\n\n::: {.cell-output .cell-output-display execution_count=18}\n```\n\"有🔴:13  🔵:3  🟢:12时,取出两个红球的概率\" => 13//63\n```\n:::\n:::\n\n\n",
+    "supporting": [
+      "2-marble_files"
+    ],
+    "filters": [],
+    "includes": {}
+  }
+}

_quarto.yml

@@ -21,9 +21,10 @@ website:
         text: Home
       - section: "AFCP"
         contents: exercises/*
-
       - section : "Turing"
         contents: turing/*
+      - section : "Basic"
+        contents: basic/*
 
 format:
   html:

basic/1-dice.qmd

@@ -0,0 +1,89 @@
+---
+title: "1-basic-probability-dice "
+---
+
+## 1. define  tools
+### 1.1 Dice🎲
+
+
+```{julia}
+emoji_dice1=["1️⃣","2️⃣","3️⃣","4️⃣","5️⃣","6️⃣"]
+emoji_dice2=["1️⃣","2️⃣","3️⃣","4️⃣","5️⃣","6️⃣"]
+dice1=Vector(1:6)
+dice2=Vector(1:6)
+show(dice1)
+```
+
+```{julia}
+using PrettyTables
+
+matrix=[[i,j] for i in dice1, j in dice2]
+display(matrix)
+two_dice_space=vec(matrix)
+two_dice_size=length(two_dice_space)
+"two_dice_size"=>two_dice_size
+```
+
+## 2.question 
+
+### 2.1 两个骰子乘积为4
+```julia
+  cond(arr::Array,cond_number=4)=*(arr...)==cond_number
+```
+```{julia}
+cond1(arr::Array,cond_number=4)::Bool=*(arr...)==cond_number
+res1=filter(arr->cond1(arr),two_dice_space)
+show("两个骰子乘积为4"=>res1)
+println("\n")
+show("两个骰子乘积为4概率"=>length(res1)//two_dice_size)
+```
+
+### 2.2 两个骰子点数合计等于小于 5
+```{julia}
+cond2(arr::Array)::Bool=sum(arr)<=5
+res2=filter(arr->cond2(arr),two_dice_space)
+show("两个骰子点数合计等于小于5"=>length(res2))
+println("\n")
+show("两个骰子点数合计等于小于5的概率"=>length(res2)//two_dice_size)
+```
+### 2.3 两个骰子点数合计大于等于 10
+```{julia}
+cond3(arr::Array)::Bool=sum(arr)>=10
+res3=filter(arr->cond3(arr),two_dice_space)
+show("点数合计大于等于10"=>res3)
+println("\n")
+show("点数合计大于等于10的概率"=>length(res3)//two_dice_size)
+```
+
+### 2.4 两个骰子点数相同
+```{julia}
+cond4(arr::Array)::Bool=arr[1]==arr[2]
+res4=filter(arr->cond4(arr),two_dice_space)
+show("两个骰子点数相同"=>res4)
+println("\n")
+show("两个骰子点数相同的概率"=>length(res4)//two_dice_size)
+```
+
+### 2.5  两个骰子点数合计等于 10
+```{julia}
+cond5(arr::Array)::Bool=sum(arr)==10
+res5=filter(arr->cond5(arr),two_dice_space)
+show("点数合计等于10"=>res5)
+println("\n")
+show("点数合计等于10的概率"=>length(res5)//two_dice_size)
+```
+
+### 2.6  点数之和被5整除
+```{julia}
+cond6(arr::Array)::Bool=sum(arr)|>d->mod(d,5)==0
+res6=filter(arr->cond6(arr),two_dice_space)
+show("点数之和被5整除"=>res6)
+println("\n")
+show("点数之和被5整除的概率"=>length(res6)//two_dice_size)
+```
+
+
+
+
+
+

basic/2-marble.qmd

@@ -0,0 +1,105 @@
+---
+title: "2-basic-probability-marble"
+---
+
+## 1. define  tools
+### 1.1 Marble
+
+
+
+
+## 2. question
+### 2.1 包内有🔴:4\n 🔵:3\n 🟢:7,连续取出两个红球的概率
+
+概率路径图:
+```{mermaid}
+%%| fig-width: 6.5
+flowchart LR
+    Urn["👜"]---bag("🔴:4\n 🔵:3\n 🟢:7")
+    bag==>bag2("🔴:3\n 🔵:3\n 🟢:7")
+    bag==r1:4/14 ==>r1("🔴")
+    bag2==r2:3/13 ==>r2("🔴")
+    
+```
+
+>连续取出两个红球,等于第一次取出红球的概率和第二次取出红球的概率乘积
+>
+>因为第一取出红球以后,包内的红球数和总球数都发生了改变,红球变为 3, 总的为 13
+
+```{julia}
+r1=4//14
+r2=3//13
+both_red=r1*r2
+"连续取出两个红球的概率"=>both_red
+```
+
+### 2.2 包内有🔴:15\n 🔵:18\n 🟢:10,连续取出两个红球的概率
+和 2.1 方法一样,只不过比例不同
+```{mermaid}
+%%| fig-width: 6.5
+flowchart LR
+    Urn["👜"]---bag("🔴:15\n 🔵:18\n 🟢:10")
+    bag==>bag2("🔴:14\n 🔵:18\n 🟢:10")
+    bag==r1:15/43 ==>r1("🔴")
+    bag2==r2:14/42 ==>r2("🔴")
+    
+```
+```{julia}
+"定义袋子类型"
+struct Bag
+    red::Int
+    blue::Int
+    green::Int
+end
+
+"""
+枚举限定球种类
+@ref:snippetslab://snippet/6016DF64-9B90-420E-83F7-7C6FF7D4A139
+"""
+@enum Ball red = 1 blue = 2 green = 3
+
+function new_bag_space_prob(bag::Bag, pick::Ball=red)::Tuple{Bag,Real}
+    (; red, blue, green) = bag # struct 解构
+    ball = Int(pick) # @enum 类型需要转换为整型
+    prob_size = +(red, blue, green)  # 合计球总数
+    res::Tuple{Bag,Real} = if ball == 1
+        (Bag([red - 1, blue, green]...), red // prob_size)
+    elseif ball == 2
+        (Bag([red, blue - 1, green]...), blue // prob_size)
+    else
+        (Bag([red, blue, green - 1]...), green // prob_size)
+    end
+    return res
+end
+
+bag = Bag(15, 18, 10)
+res1 = new_bag_space_prob(bag, red)
+res2 = new_bag_space_prob(res1[1], red)
+both_red_ball=res1[2] * res2[2]
+"有🔴:15,🔵:18, 🟢:10时,取出两个红球的概率"=>both_red_ball
+```
+
+
+### 2.3 包内有🔴:13  🔵:3  🟢:12,连续取出两个红球的概率
+
+```{mermaid}
+%%| fig-width: 6.5
+flowchart LR
+    Urn["👜"]---bag("🔴:13\n 🔵:3\n 🟢:12")
+    bag==>bag2("🔴:12\n 🔵:3\n 🟢:12")
+    bag==r1:13/28 ==>r1("🔴")
+    bag2==r2:12/27 ==>r2("🔴")
+    
+```
+
+```{julia}
+bag2 = Bag(13, 3, 12)
+res3 = new_bag_space_prob(bag2, red)
+res4 = new_bag_space_prob(res3[1], red)
+both_red_ball2=res3[2] * res4[2]
+"有🔴:13  🔵:3  🟢:12时,取出两个红球的概率"=>both_red_ball2
+```
+
+
+
+

basic/_2-marble.jl

@@ -0,0 +1,54 @@
+
+
+"定义袋子类型"
+struct Bag
+    red::Int
+    blue::Int
+    green::Int
+end
+
+"""
+枚举限定球种类
+@ref:snippetslab://snippet/6016DF64-9B90-420E-83F7-7C6FF7D4A139
+"""
+@enum Ball red = 1 blue = 2 green = 3
+
+
+
+"""
+    new_bag_space_prob(bag::Bag, pick::Ball=red)::Tuple{Bag,Real}
+
+从 bag 中取出 pick球以后, 返回取出该球的概率和取出该球之后的概率空间
+    
+```
+        (; red, blue, green) = bag # struct 解构
+        ball = Int(pick) # @enum 类型需要转换为整型
+        prob_size = +(red, blue, green)  # 合计球总数
+        res::Tuple{Bag,Real}=(Bag([red - 1, blue, green]...), red // prob_size)
+```
+
+如果取出的球为红色,定义新的(Bag([red - 1, blue, green]...) eg.
+"""
+function new_bag_space_prob(bag::Bag, pick::Ball=red)::Tuple{Bag,Real}
+    (; red, blue, green) = bag # struct 解构
+    ball = Int(pick) # @enum 类型需要转换为整型
+    prob_size = +(red, blue, green)  # 合计球总数
+    res::Tuple{Bag,Real} = if ball == 1
+        (Bag([red - 1, blue, green]...), red // prob_size)
+    elseif ball == 2
+        (Bag([red, blue - 1, green]...), blue // prob_size)
+    else
+        (Bag([red, blue, green - 1]...), green // prob_size)
+    end
+    return res
+end
+
+
+bag = Bag(15, 18, 10)
+
+res1 = new_bag_space_prob(bag, red)
+res2 = new_bag_space_prob(res1[1], red)
+both_red_ball=res1[2] * res2[2]
+
+"取出两个红球的概率"=>both_red_ball
+