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 |