ANSWER 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.
