「Odds in statistics and Odds in a horse race」の版間の差分

2022年11月6日 (日) 23:26時点における版

[math]\displaystyle{ Odds=\frac{probability\ that\ the\ outcome\ occurs}{probability\ that\ the\ outcome\ does\ not\ occur} }[/math]

In order to simplify, the bookmaker in the following scenario does not charge any betting fees

Here is a horse race that 5 horses start and 20 people — 20 bettors — bet each of 5 horses.

Names of horses are A, B, C, D and E.

Each bettor bets $1 for one horse. All bet money are pooled ($20 pooled in total) and will be redistributed for bettors who bet a winning horse.

Now each all bettors bet as following:

@@ 9行目: / 9行目: @@
 ===A race that 5 horses start and 10 bettors bet===
-Here is a horse race that 5 horses start and 10 people ---10 bettors--- bet each of 5 horses.
+Here is a horse race that 5 horses start and 20 people &mdash; 20 bettors &mdash; bet each of 5 horses.
 Names of horses are A, B, C, D and E.
@@ 17行目: / 17行目: @@
 !style="width:50px"|Horses
 |-
-|A
+|style="text-align:center"|A
 |-
-|B
+|style="text-align:center"|B
 |-
-|C
+|style="text-align:center"|C
 |-
-|D
+|style="text-align:center"|D
 |-
-|E
+|style="text-align:center"|E
 |}
+Each bettor bets $1 for one horse. All bet money are pooled ($20 pooled in total) and will be redistributed for bettors who bet a winning horse.
+Now each all bettors bet as following:
+{|class="wikitable"
+|-
+!style="width:50px"|Horses
+!style="width:80px"|Bettors
+|-
+|style="text-align:center"|A
+|10 bettors
+|-
+|style="text-align:center"|B
+|5 bettors
+|-
+|style="text-align:center"|C
+|3 bettors
+|-
+|style="text-align:center"|D
+|2 bettors
+|-
+|style="text-align:center"|E
+|1 bettor
+|}
+===Results===