What's a fair game between a 700 fargo and 600 fargo, barbox 8 ball?

SBC

AzB Silver Member
Silver Member
What's a fair game between a 700 fargo and 600 fargo, barbox 8 ball?

Valley table.

I'm thinking 4 to 6 or 3 to 5.

Might find myself playing with a tiger in a cafe soon. Got the itch to play.
 
If I'm the 700, I would choose 7-5. I've spotted someone only 50 fargo points lower than me: 6-3, 5-3 and they get all the breaks, and 9-5 and they get the first 5 breaks and still beat them.

A 100 point difference means that the higher rated player should win 2 games for every 1 game that the other player wins.
 
If I'm the 700, I would choose 7-5. I've spotted someone only 50 fargo points lower than me: 6-3, 5-3 and they get all the breaks, and 9-5 and they get the first 5 breaks and still beat them.

A 100 point difference means that the higher rated player should win 2 games for every 1 game that the other player wins.
Those are big spots to give a 650.

I think barbox 8 ball on a valley definitely narrows the spot between players. I'm nobody and I've broke and ran 12 racks in a row.
 
Two on the wire in a race to six sounds about right to me, assuming Fargo accurately measures a player's eight ball speed.
 
If the Fargo ratings are accurate, a 100 point difference means that in a very long match the better player will win 2/3 of the games and the weaker player will win 1/3 of the games. That's basically the definition of the system -- a win ratio of 2:1 for a 100-point difference. The only other part of the definition is that a 4:1 win ratio implies a 200-point separation, and so on. All the rest is bookkeeping.

If you play at 6-3 the weaker player is favored at 53.2% to win each match. If you play at 7-4, the better player is favored at 55.9%.

6-4 makes the better player a 65% favorite in the match.

The math and the probability for calculating this is dead simple for probability problems because of the way the system is constructed.

Whether you believe in the design of the system or trust the math behind it or the predictions it makes is a more complicated problem.
 
One has to keep in mind fargo is based on cumulative results , which may well include matches where the 700 lost to a 600 or 550.
Your 1 race to 7 doesnt have to reflect "end results".
 
What's a fair game between a 700 fargo and 600 fargo, barbox 8 ball?

Valley table.

I'm thinking 4 to 6 or 3 to 5.

Might find myself playing with a tiger in a cafe soon. Got the itch to play.
6-3

100 point Fargo difference.
 
6-3

100 point Fargo difference.
6-3 is close to a 100 point difference because it is a 2:1 ratio which defines a 100-point difference, but because of the details of how the probabilities of individual games scores work out, 6-3 is actually a fair match for a difference of 108.4. One way to think about it is that the randomness of a short match favors the player getting the spot.

For most players the uncertainty of their rating is around the +-10 level, so 6-3 is close enough.
 
as we can see without an explanation and a mathematical formula few pool players have much of an idea of how to make a spot in a game for it to be even. let alone so they can have an advantage and actually win money at it.
 
as we can see without an explanation and a mathematical formula few pool players have much of an idea of how to make a spot in a game for it to be even. let alone so they can have an advantage and actually win money at it.
Lots of players don't understand "on the wire" spots if they are used to "winning 8" or "the last 3". Many years ago I turned down the offer of the winning 8 from a local hot shot but he was happy to give me 3 on the wire going to 7.
 
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