Golf (give the putt or not) involving a professional golf match is the topic of this problem.

In matches, like the President's Cup, the Ryder Cup, and other match play events, it is common to see players concede a putt to another player. The issue sometimes is do we concede under 4 feet or between 4 and 8 feet? What is the better strategy for each team?

Should there be any agreement before each match regarding whether players should concede or not concede putts? We will use a 10-point scale for each side as well as the following probabilities: