jack said:
Has anyone ever seen a chart of how you'd rate different spots against each other? Obviously the 6 gives more weight than giving the 8, but how would you rank the last 3 vs the 7 and the break, etc....i'd be interested to see a running chart of the various combinations......or even a list...
thanks!
There's no real way to do it, as the break means more to some and less to others, and the same is true of ball spots.
Games on the wire, though, is another matter. A game on the wire means the same to me as it does to any other player.
A concept useful in understanding the games on the wire concept is the implied win percentage (which, for the math geeks out there, is based on negative binomial probability). If a player who can give x games on the wire in a race to y will have an even money chance to win the set if his probabability of winning any given rack is z, then z is his implied winning percentage.
As the most common competitive races are to 5, 7, and 9, here are some implied winning percentages for those races:
Race to Five
1 games on wire, implied win percentage = .5598
2 games on wire, implied win percentage = .6359
Race to seven
1 games on wire, implied win percentage = .5405
2 games on wire, implied win percentage = .5881
3 games on wire, implied win percentage = .6449
Race to Nine
1 games on wire, implied win percentage = .5306
2 games on wire, implied win percentage = .5652
3 games on wire, implied win percentage = .6046
4 games on wire, implied win percentage = .6498
Hence, I can only give up 2 on 7 if I feel my chance of winning any given rack is 58.81% or better. Three on nine, which requires an implied win percentage of 60.46% is a little tougher to give up than two on seven, as its implied win percentage is higher. Two on nine is just a hair tougher to give up than one on five.