The Trifecta Wheel bet is picking sets of horses to finish in first, second and third position. This bet improves your chances of winning because 1 or more horses can be chosen to finish in each position.
Difference between Trifecta Wheel and Trifecta Box Bets?
Trifecta Wheel betting requires a specific order from 3 sets of horses. Trifecta box betting requires any order of 3 or more horses.
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The Trifecta “Key” Concept
The following video explains how to place this bet. The steps are the same for Exacta, Trifecta and Superfecta. Rewind the video to review each straight bet.
Keying means selecting a set of horses to finish in a certain position. Trifectas are for first, second and third position. That means 3 keys must be made for each Trifecta Wheel.
Start with the first position key. Select 1 or more horses. For example, suppose horses 1, 2, 3, 4, 5 & 6 are racing.
Example 1st Horse Key: Horses 1, 5
That means horses 1 or 5 must finish first. You can only win if 1 or 5 finish first.
Example 2nd Horse Key: Horses 2, 3
That means horses 2 or 3 must finish second. You can only win if 2 or 3 finish second.
Example 3rd Horse Key: Horses 4, 6, 7
That means horses 4, 6 or 7 must finish third. You can only win if 4, 6 or 7 finish third.
| Finishing Order | Result |
|---|---|
| 1,2,4 | Win |
| 1,2,6 | Win |
| 1,2,7 | Win |
| 1,3,4 | Win |
| 1,3,6 | Win |
| 1,3,7 | Win |
| 5,2,4 | Win |
| 5,2,6 | Win |
| 5,2,7 | Win |
| 5,3,4 | Win |
| 5,3,6 | Win |
| 5,3,7 | Win |
| Finishing Order | Result | Why? |
|---|---|---|
| 1,2,3 | Lose | Horse 1 correct. Horse 2 correct. Horse 3 not in third key. |
| 7,4,1 | Lose | Horse 7 not in first key. Horse 4 not in second key. Horse 1 not in third key. |
| 8,1,5 | Lose | Horse 8 not in any key. Horse 1 not in second key. Horse 5 not in third key. |
| 1,5,4 | Lose | Horse 1 correct. Horse 5 not in second key. Horse 4 correct. |
| 2,7,6 | Lose | Horse 2 not in first key. Horse 7 not in second key. Horse 6 correct. |
Trifecta Wheel Bets Cost $1 Per Finishing Combination
Consider the following examples. We’ve keyed horses into the first, second and third positions. Trifecta Wheel cost is $1 multiplied by total number of combinations.
Trifecta Wheel Cost Calculation:
The calculation is more complicated because there are more possible combinations. Also, putting the same horse in multiple keys must be considered.
Let A equal Key 1 number of horses, B equal Key 2 number of horses, C equal Key 3 number of horses.
Let AB equal number of same horses in both Key 1 and Key 2.
Let BC equal number of same horses in both Key 2 and Key 3.
Let AC equal number of same horses in both Key 1 and Key 3.
Let ABC equal number of same horses in all keys: Key 1, Key 2 and Key 3.
(A x B x C) – (AB x C) – (BC x A) – (AC x B) + (ABC x 2) = Total Trifecta Wheel Cost
Example 1: Trifecta Part Wheel
Horses 1 and 2 are your first key.
Horses 2, 3 and 4 are your second key.
Horses 5, 6 and 7 are your third key.
Note: 2 is in both first and second keys.
Note: No horses are in all keys.
(A x B x C) = 2 x 3 x 3 = 18
– (AB x C) – (BC x A) – (AC x B) = – (1 x 3) – (0 x 2) – (0 x 3) = -3
+ (ABC x 2) = (0 x 2) = 0
Total Example Trifecta Part Wheel Cost, $1 per Combination = 18 – 3 + 0 = 15 x $1 = $15
| Finishing Order | Cost Each |
|---|---|
| 1,2,5 | $1 |
| 1,2,6 | $1 |
| 1,2,7 | $1 |
| 1,3,5 | $1 |
| 1,3,6 | $1 |
| 1,3,7 | $1 |
| 1,4,5 | $1 |
| 1,4,6 | $1 |
| 1,4,7 | $1 |
| 2,3,5 | $1 |
| 2,3,6 | $1 |
| 2,3,7 | $1 |
| 2,4,5 | $1 |
| 2,4,6 | $1 |
| 2,4,7 | $1 |
| Total Cost | $15 |
Example 2: Trifecta Full Wheel (1,2 – ALL – ALL)
Horses 1 and 2 are your first key.
Horses 3,4,5,6,7,8 are your second key.
Horses 3,4,5,6,7,8 are your third key.
Note: Horses 3,4,5,6,7,8 are in both second and third keys.
Note: No horses are in all keys.
(A x B x C) = 2 x 6 x 6 = 72
– (AB x C) – (BC x A) – (AC x B) = – (0 x 6) – (6 x 2) – (0 x 6) = -12
+ (ABC x 2) = (0 x 2) = 0
Total Example Trifecta Full Wheel Cost, $1 per Combination = 72 – 12 + 0 = 60 x $1 = $60
8 Horse Trifecta Full Wheel Winning Combinations
Assume 2 unique horse first key, 6 unique horse second key, 0 horse unique third key + 6 from second key.
For simplicity, 60 combinations is too many to write. Use the equation to calculate winning combinations for each Trifecta Full Wheel.
Trifecta Wheel Cost
The calculation is more complicated because there are more possible combinations. Also, putting the same horse in multiple keys must be considered.
Let A equal Key 1 number of horses, B equal Key 2 number of horses, C equal Key 3 number of horses.
Let AB equal number of same horses in both Key 1 and Key 2.
Let BC equal number of same horses in both Key 2 and Key 3.
Let AC equal number of same horses in both Key 1 and Key 3.
Let ABC equal number of same horses in all keys: Key 1, Key 2 and Key 3.
(A x B x C) – (AB x C) – (BC x A) – (AC x B) + (ABC x 2) = Total Trifecta Wheel Cost
| Horses | Cost |
|---|---|
| 3 | $6 |
| 4 | $12 |
| 5 | $20 |
| 6 | $30 |
| 7 | $42 |
| 8 | $56 |
| 9 | $72 |
| 10 | $90 |
| 11 | $110 |
Trifecta Part Wheel Cost Table: $1 Per Combination
Each number represents a horse. Read 10 and 11 as two digit numbers in larger fields.
Some horses have been added to multiple keys.
Example:
1,2,3/1,2,3/1,2,3,4 = $12 (Horses 1,2,3 in all 3 keys)
| Combination | $1 Cost |
| 1 2 345 | $3 |
| 1 2 3456 | $4 |
| 1 2 34567 | $5 |
| 1 2 345678 | $6 |
| 1 2 3456789 | $7 |
| 1 2 345678910 | $8 |
| 1 2 34567891011 | $9 |
| 1 2 3456789101112 | $10 |
| 1 23 345 | $5 |
| 1 23 3456 | $7 |
| 1 23 34567 | $9 |
| 1 23 345678 | $11 |
| 1 23 3456789 | $13 |
| 1 23 345678910 | $15 |
| 1 23 34567891011 | $17 |
| 1 23 3456789101112 | $19 |
| 1 234 345 | $7 |
| 1 234 3456 | $12 |
| 1 234 34567 | $13 |
| 1 234 345678 | $16 |
| 1 234 3456789 | $19 |
| 1 234 345678910 | $22 |
| 1 234 34567891011 | $25 |
| 1 234 3456789101112 | $28 |
| 1 2345 345 | $9 |
| 1 2345 3456 | $13 |
| 1 2345 34567 | $17 |
| 1 2345 345678 | $21 |
| 1 2345 3456789 | $25 |
| 1 2345 345678910 | $29 |
| 1 2345 34567891011 | $33 |
| 1 2345 3456789101112 | $37 |
| 1 23456 345 | $12 |
| 1 23456 3456 | $16 |
| 1 23456 34567 | $21 |
| 1 23456 345678 | $26 |
| 1 23456 3456789 | $31 |
| 1 23456 345678910 | $36 |
| 1 23456 34567891011 | $41 |
| 1 23456 3456789101112 | $46 |
| Combination | $1 Cost |
| 123 4 567 | $9 |
| 123 4 5678 | $12 |
| 123 4 56789 | $15 |
| 123 4 5678910 | $18 |
| 123 4 567891011 | $21 |
| 123 4 56789101112 | $24 |
| 1234 5 678 | $12 |
| 1234 5 6789 | $16 |
| 1234 5 678910 | $20 |
| 1234 5 67891011 | $24 |
| 1234 5 6789101112 | $28 |
| 12 34 567 | $12 |
| 12 34 5678 | $16 |
| 12 34 56789 | $20 |
| 12 34 5678910 | $24 |
| 12 34 567891011 | $28 |
| 12 34 56789101112 | $32 |
| 12 12 345 | $6 |
| 12 12 3456 | $8 |
| 12 12 34567 | $10 |
| 12 12 345678 | $12 |
| 12 12 3456789 | $14 |
| 12 12 345678910 | $16 |
| 12 12 34567891011 | $18 |
| 12 12 3456789101112 | $20 |
| 12 12 34 | $4 |
| 12 12 345 | $6 |
| 12 12 3456 | $8 |
| 12 12 34567 | $10 |
| 12 12 345678 | $12 |
| 12 12 3456789 | $14 |
| 12 12 345678910 | $16 |
| 12 12 34567891011 | $18 |
| 12 12 3456789101112 | $20 |
| 123 123 1234 | $12 |
| 123 123 12345 | $18 |
| 123 123 123456 | $24 |
| 123 123 1234567 | $30 |
| 123 123 12345678 | $36 |
| 123 123 123456789 | $42 |
| 123 123 12345678910 | $48 |
| 123 123 1234567891011 | $54 |
| 123 123 123456789101112 | $60 |
| 12 3 456 | $6 |
| 12 3 4567 | $8 |
| 12 3 45678 | $10 |
| 12 3 456789 | $12 |
| 12 3 45678910 | $14 |
| 12 3 4567891011 | $16 |
| 12 3 456789101112 | $18 |
| See Also |
|---|
| Trifecta Betting |
| Trifecta Box Betting |
| Superfecta Betting |