ANSWER GETS BRAINLIEST AND 50 POINTS
Megan and Ryan want to roll two dice to see who will do the dishes. They decide that any sum of 6 or below means Megan does the dishes and any sum of 7 or higher means Ryan does the dishes. Is this game fair? Explain why or why not.

Respuesta :

Answer: The game is fair because the odds are the game are 50/50.

Step-by-step explanation: Megan and ryan both have the odds against them that the dice land low or high.

Using proportions, it is found that since the proportions for Megan and Ryan are different, the game is not fair.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The 36 possible outcomes are given as follows:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

Hence, e have that:

  • 5 + 4 + 3 + 2 + 1 = 15 result in a sum of 6 or below, hence the proportion for Megan is of 15/36 = 0.4167.
  • 21 result in a su of 7 or higher, hence the proportion for Ryan is of 21/36 = 0.5833.

Since the proportions for Megan and Ryan are different, the game is not fair.

More can be learned about proportions at https://brainly.com/question/24372153

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