Abbie, chloe, and xander are playing a dice game. the game consists of ten rounds. in each round, each person takes a turn rolling two dice and earns or loses points based on what they role. points are awarded according to the following table: same number on both dice +3 different numbers, with an even sum +1 an odd sum -2 in the first five rounds, chloe had a combined score of 1 point. determine what five types of rolls she had in these first rounds. express your answer in complete sentences.

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.

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