Chapter 11.5, Problem 3LC

Solution

To state: An example of a fair decision and an example of an unfair decision if two brothers are trying to decide who has to wash the dishes.

Filliping a coin dice gives fair decision and rolling a cube dice gives and unfair decision.

Given information:

The given statement says to an example of a fair decision and an example of an unfair decision if two brothers are trying to decide who has to wash the dishes.

Explanation:

An example of a fair decision:

Let’s assume the two brothers decided to flip a coin so that they can decide who will wash the dishes. If head comes up the first brother will wash the dishes and if tail comes up the second brother will wash the dishes.

As it is known that flipping a coin has two outcomes and each outcome has equal chances of getting selected.

Then it can be said that flipping a coin gives fair decision.

An example of an unfair decision:

Let’s assume the two brothers decided to roll a cube dice so that they can decide who will wash the dishes. If the number less than 3 comes, the first brother wash the dishes and if a number more than 3 or equal to 3 comes, the second brother wash the dishes.

Here each option does not have equal chance of getting selected. Because there are only two numbers that are less than 3 and four numbers that are equal to or more than 3.

Then it can be said that rolling a cube dice gives and unfair decision.