SJD the game you are talking about yes its very close very close.Cowboy Dennis said:....yes....
Like I said 8 to 8 a scratch is worth one ball.
So what you said is correct. Because one ball and one scratch are almost identacale.
But 18 to 4 is way different. If I wae playing a week player 18 to 4. I would be very happy to give him 20 to 4 for a free scratch.
The value of a scratch is way different with a big spopt or a even game.
And one more thing I would like too say that one scratch and all your scratches are like night and day.
You cannot give some one 4 and a half balls forever scratch. LIke 5 scratches are worth 22 and a half balls.
And you would be playing the week player 40 and a half balls to 4. And to get wright to the point the good player might not use any off the scratches.
Then the good player would be spotting him 22 and ahalf balls for nothing. And it works the other way too the week player cant give up one ball for more scratches.
Like 4 more scratches and the week player goes to 8 balls. He might not yous those scratches and he is giving up 4 balls for them. But one scratch before the game starts is worth 4 and a half balls.
And If some one does the math. That is good at figuring percentages. He will come up with the same amswer I have.
Her is what someone can do. Give the peroblem To a proffisor or a percentage expert and he will figure out the correct answer. Percentage wise. This is the only way this can be proven. And what I am saying is correct.
And belive me a percentage expert can do it. Maybe some off ypu can do the math and see what it comes too. But again SJD what you said is correct.