Poker in each individual position in poker what should your pre flop hand range be?

I

Izaak

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I'm talking about the mathematical answer if we imagine that all the players on the table play the exact same ranges in each position, and we use chris fergusons pre flop raise size strategy ( UTG vs 9 other opponent - 7 opponents raise 2X big blind plus 1 for each limper) mid 6-4 2.5 + limper late 3-1 3 + limpers OOP 1 x4 + limper. If the antes are 4 times the size as the small blind I add .5 to each raise size...

I found this graph on pre flop hand rankings, is this the mathematical correct graph? http://www.google.co.uk/imgres?q=po...ok6TujdAsel8QOOmqWXAw&zoom=1&biw=1024&bih=690 if you can't be bothered to tell me the hand rankings mathematically please atleast try to give me the formula to figure it out. Thanks
 
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