A game is proposed to you using two six-sided dice and one roll per turn. Two points are scored when the sum of the two dice equal a 'predetermined number' of your choice. One point is scored when at least one of the die equal half of the same 'predetermined number'. Create a table of probabilities for each sum possibility. Determine the probability of receiving three points on a single turn.Select the 'predetermined number' that would yield the highest point values over the course of this game.