Pearson Algebra 2 Common Core, 2011
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Pearson Algebra 2 Common Core, 2011 View details
5. Probability Models
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Exercise 3 Page 707

A decision is fair if each possible outcome is equally likely.

See solution.

Practice makes perfect

We are asked to give an example of a fair decision and an example of an unfair decision if two brothers want to decide who has to wash the dishes. Let's begin by recalling when can we consider a decision to be fair.

A decision is fair if each possible outcome is equally likely.

Let's think of flipping a coin. If the coin is symmetric, then we have equal chances of flipping heads or tails. We could assign each brother one side of the coin and then make the decision based on the side on which it lands. This is an example of a fair decision.
Now let's think about what would happen if one brother suggested playing chess and making the decision based on the results of the game. This decision would not be fair because one brother might be way better at the game.

Notice that this is only an example solution as we could think of infinitely many examples of fair and unfair decisions. In a real-life scenario, however, we should always try to choose the most fair decision so that everyone feels comfortable with it.