What is the method used to multiply binomials using foil?

As written in the question Abbie, Chloe, and Xander are playing a dice game.

They are playing with two dices.

Rules are  

Same number on both dice=+3

Different numbers, with an even sum=+1

An odd sum=-2

After five rounds score of Chloe=+1

→1=3+1+(-2)+(-2)+1

⇒ Same number on both dice ( in first throw)+Different numbers ,with an even sum (in second throw)+An odd sum(third throw)+An odd sum(fourth throw)+Different numbers ,with an even sum (in fifth throw)

As you can alter the arrangement ,In each case you will get sum as(+1), as integers Satisfy both Commutativity and Associativity with respect to addition.