「Odds in statistics and Odds in a horse race」の版間の差分
ナビゲーションに移動
検索に移動
Vaccipedia.admin (トーク | 投稿記録) |
Vaccipedia.admin (トーク | 投稿記録) |
||
60行目: | 60行目: | ||
!style="width:50px"|Horses | !style="width:50px"|Horses | ||
!style="width:80px"|Bettors | !style="width:80px"|Bettors | ||
− | !style="width:150px"|If the horse wins | + | !style="width:150px"|If the horse wins |
− | !style="width:150px"| | + | !style="width:150px"|Calculation |
|- | |- | ||
|style="text-align:center"|A | |style="text-align:center"|A |
2022年11月6日 (日) 23:40時点における版
目次
Definition of Odds in statistics
[math]\displaystyle{ Odds=\frac{probability\ that\ the\ outcome\ occurs}{probability\ that\ the\ outcome\ does\ not\ occur} }[/math]
Example of a horse rase
Assumption
In order to simplify, the bookmaker in the following scenario does not charge any betting fees
A race that 5 horses start and 10 bettors bet
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.
Horses |
---|
A |
B |
C |
D |
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:
Horses | Bettors |
---|---|
A | 10 bettors |
B | 5 bettors |
C | 3 bettors |
D | 2 bettors |
E | 1 bettor |
Results
If each horse wins, pooled $20 are redistributed as following:
Horses | Bettors | If the horse wins | Calculation |
---|---|---|---|
A | 10 bettors | $20 into 10 bettors | $20 ÷ 10 = $2 |
B | 5 bettors | $20 into 5 bettors | $20 ÷ 5 = $4 |
C | 3 bettors | $20 into 3 bettors | $20 ÷ 3 = $6.66... |
D | 2 bettors | $20 into 2 bettors | $20 ÷ 2 = $10 |
E | 1 bettor | $20 into 1 bettor | $20 ÷ 1 = $20 |