Some will find this easy (and often be deadly wrong), others will find it quite hard.
Your task: You are going to give an input parameter to a computer program that is going to play a quadrillion (10 to the power of 15 = a million billion) hands against another program.
Note: The quadrillion hands may be replaced with a possibly larger number for it to be statistically significant, but this is of of no particular importance for the problem at hand.
The situation you get to control is the following: On the river, there is $5000 in the pot. You bet with a pot-sized bet, presumably for value. There is now $10 000 in the pot.
Your opponent now moves all in on you. To your amusement, he raises with $1. (You cover him:f_biggrin:)
There is now $15 001 in the pot, and it will cost you $1 to call. You have a hand that can only beat a bluff and it beats all conceivable bluffs.
The question is this: Should you call? Should you FOLD?(?(?(?(?(?(?( You are allowed to sometimes call and sometimes fold. If you chose this option, then you must present a percentage. Round off to one decimal place.
Parenthesis: Normal hands play out as well. These can be totally ignored because you only get to set precisely the parameter I have already defined. (In normal play, the competing programs are exactly equal.)
There is one more premise. Your opponent (the player actually giving a corresponding input parameter to the opposing computer program) is a GTO expert, but knows a little bit about exploitation as well. He may change his parameter as often as he wishes, but you may not.
If after a quadrillion played hands you are ahead, you get the dough (and if roughly break even (this takes care of a possible round off error in a possible percentage given), $100 000 000 will be paid to you). A loss costs you nothing.
Now, call, fold, or a mixture, and if so - give the percentages.
Happy headaches!