Dave And Sarah's Utensils System

Decent Essays
here are two siblings named Dave and Sarah. They have a system that determines who does which chore. Their system contains a bag, spoons, and forks. To decide who does what Dave and Sarah place two spoons and three forks into a bag and pick two ustensils at random. Dave will wash dishes if the utensils are the same, and Sarah will dry. If the utensils are different then Sarah will wash and Dave will dry. After one day, Sarah realizes that the system they created is not fair. Sarah washes dishes 60% of the time. She wants to change the number of spoons and forks so that their system will be fair. My task is to find as many combinations that will make Dave and Sarah’s system fair.

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