The probability formulas are to be used for wagering on harness racing. There are 6 types of wagerings:
1. Win: You wager on that a certain horse will win the race, and there might be 12 horses in the field.
2. Place. You wager on that a certain horse will end 1st, 2nd or 3rd in the race.
3. Twins: You wager on that two horses in the field will end 1st and 2nd irrespective of the order in the race.
4. Trio: You wager on that three horses will end 1st, 2nd and 3rd in exactly that order in the race.
5, Top 7 Pro: You wager on that 7 horses end 1st, 2nd, 3rd, 4th, 5th, 6th and 7th in exactly that order in the race.
6. DD: You wager on that a certain horse will win race 1 and a certain horse will win race 2.
So type 1-5 are for only one race, whereas type 6 is for 2 races.
Type 1 is not difficult: If there are 12 horses in the race, then each horse has a 1/12th chance to win (8.3 %) if they would have exactly the same capability.
What would the function be for the other five types, assuming there are always 12 horses in the field?
Logically the order of most easy to most difficult would be this:
1. Win (difficulty/probability 8.3 %)
5. Top 7 Pro
Which formulas could I enter in this online probability calculator for example?: