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common_distrobutions.md

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Sum of 2 D6

➔ python dice_distro.py -d 6 -n 2 --apply sum

 2:   2.78 % |=====
 3:   5.56 % |===========
 4:   8.33 % |================
 5:  11.11 % |======================
 6:  13.89 % |===========================
 7:  16.67 % |=================================
 8:  13.89 % |===========================
 9:  11.11 % |======================
10:   8.33 % |================
11:   5.56 % |===========
12:   2.78 % |=====

Weighted Average: 7

Cumulative Data
 2:   2.78 % |==
 3:   8.33 % |========
 4:  16.67 % |================
 5:  27.78 % |===========================
 6:  41.67 % |=========================================
 7:  58.33 % |==========================================================
 8:  72.22 % |========================================================================
 9:  83.33 % |===================================================================================
10:  91.67 % |===========================================================================================
11:  97.22 % |=================================================================================================
12: 100.00 % |====================================================================================================

Sum of 3 D6

➔ python dice_distro.py -d 6 -n 3 --apply sum

 3:   0.46 % |
 4:   1.39 % |==
 5:   2.78 % |=====
 6:   4.63 % |=========
 7:   6.94 % |=============
 8:   9.72 % |===================
 9:  11.57 % |=======================
10:  12.50 % |=========================
11:  12.50 % |=========================
12:  11.57 % |=======================
13:   9.72 % |===================
14:   6.94 % |=============
15:   4.63 % |=========
16:   2.78 % |=====
17:   1.39 % |==
18:   0.46 % |

Weighted Average: 10.5

Cumulative Data
 3:   0.46 % |
 4:   1.85 % |=
 5:   4.63 % |====
 6:   9.26 % |=========
 7:  16.20 % |================
 8:  25.93 % |=========================
 9:  37.50 % |=====================================
10:  50.00 % |==================================================
11:  62.50 % |==============================================================
12:  74.07 % |==========================================================================
13:  83.80 % |===================================================================================
14:  90.74 % |==========================================================================================
15:  95.37 % |===============================================================================================
16:  98.15 % |==================================================================================================
17:  99.54 % |===================================================================================================
18: 100.00 % |====================================================================================================

Max of 2 D20

➔ python dice_distro.py -d 20 -n 2 --apply max

 1:   0.25 % |
 2:   0.75 % |=
 3:   1.25 % |==
 4:   1.75 % |===
 5:   2.25 % |====
 6:   2.75 % |=====
 7:   3.25 % |======
 8:   3.75 % |=======
 9:   4.25 % |========
10:   4.75 % |=========
11:   5.25 % |==========
12:   5.75 % |===========
13:   6.25 % |============
14:   6.75 % |=============
15:   7.25 % |==============
16:   7.75 % |===============
17:   8.25 % |================
18:   8.75 % |=================
19:   9.25 % |==================
20:   9.75 % |===================

Weighted Average: 13.825

Cumulative Data
 1:   0.25 % |
 2:   1.00 % |=
 3:   2.25 % |==
 4:   4.00 % |====
 5:   6.25 % |======
 6:   9.00 % |=========
 7:  12.25 % |============
 8:  16.00 % |================
 9:  20.25 % |====================
10:  25.00 % |=========================
11:  30.25 % |==============================
12:  36.00 % |====================================
13:  42.25 % |==========================================
14:  49.00 % |=================================================
15:  56.25 % |========================================================
16:  64.00 % |================================================================
17:  72.25 % |========================================================================
18:  81.00 % |=================================================================================
19:  90.25 % |==========================================================================================
20: 100.00 % |====================================================================================================

Min of 2 D20

➔ python dice_distro.py -d 20 -n 2 --average --apply min

 1:   9.75 % |===================
 2:   9.25 % |==================
 3:   8.75 % |=================
 4:   8.25 % |================
 5:   7.75 % |===============
 6:   7.25 % |==============
 7:   6.75 % |=============
 8:   6.25 % |============
 9:   5.75 % |===========
10:   5.25 % |==========
11:   4.75 % |=========
12:   4.25 % |========
13:   3.75 % |=======
14:   3.25 % |======
15:   2.75 % |=====
16:   2.25 % |====
17:   1.75 % |===
18:   1.25 % |==
19:   0.75 % |=
20:   0.25 % |

Weighted Average: 7.08

Max of 3 D20

➔ python dice_distro.py -d 20 -n 3 --average --apply max

 1:   0.01 % |
 2:   0.09 % |
 3:   0.24 % |
 4:   0.46 % |
 5:   0.76 % |=
 6:   1.14 % |==
 7:   1.59 % |===
 8:   2.11 % |====
 9:   2.71 % |=====
10:   3.39 % |======
11:   4.14 % |========
12:   4.96 % |=========
13:   5.86 % |===========
14:   6.84 % |=============
15:   7.89 % |===============
16:   9.01 % |==================
17:  10.21 % |====================
18:  11.49 % |======================
19:  12.84 % |=========================
20:  14.26 % |============================

Weighted Average: 15.4875

Cumulative Data
 1:   0.01 % |
 2:   0.10 % |
 3:   0.34 % |
 4:   0.80 % |
 5:   1.56 % |=
 6:   2.70 % |==
 7:   4.29 % |====
 8:   6.40 % |======
 9:   9.11 % |=========
10:  12.50 % |============
11:  16.64 % |================
12:  21.60 % |=====================
13:  27.46 % |===========================
14:  34.30 % |==================================
15:  42.19 % |==========================================
16:  51.20 % |===================================================
17:  61.41 % |=============================================================
18:  72.90 % |========================================================================
19:  85.74 % |=====================================================================================
20: 100.00 % |====================================================================================================

Min of 3 D20

➔ python dice_distro.py -d 20 -n 3 --average --apply min

 2:  12.84 % |=========================
 3:  11.49 % |======================
 4:  10.21 % |====================
 5:   9.01 % |==================
 6:   7.89 % |===============
 7:   6.84 % |=============
 8:   5.86 % |===========
 9:   4.96 % |=========
10:   4.14 % |========
11:   3.39 % |======
12:   2.71 % |=====
13:   2.11 % |====
14:   1.59 % |===
15:   1.14 % |==
16:   0.76 % |=
17:   0.46 % |
18:   0.24 % |
19:   0.09 % |
20:   0.01 % |

Weighted Average: 5.37