Using probability to make fair decisions
Using-probability-to-make-fair-decisions 256
Exercise Name: Using probability to make fair decisions
Math Missions: High school statistics and probability Math Mission
Types of Problems: 3

The Using probability to make fair decisions exercise appears under the High school statistics and probability Math Mission. This exercise uses probabilities to try to determine fair method for selecting people for a prize or a chore.

Types of Problems

There are three types of problems in this exercise:

  1. Fair and unfair: This problem describes three selection processes, one of which is fair and the other two are not. Users are asked to drag the selections correctly to determine which method is fair and why the other methods are not fair.

    Fair and unfair

  2. Is it fair and probability: This problem describes a selection method, often using a chart of empirical data. The user is asked to determine whether the choice process is fair, and also to find the probability of a particular event.

    Is it fair and probability

  3. Select those that are fair: This problem describes several selection processes. The user is asked to select all of the methods that are fair from the given list.

    Select those that are fair


This exercise is hard to get accuracy badges because the situations have a lot of subtle points that require undivided attention. The speed badges are hard because the user really needs to take their time to make sure they is understanding the problem completely and answering it correctly.

  1. On the Fair and unfair problem something has to be moved, i.e., the answer is never given with everything in the correct spot. Therefore if one of the answers is already lined up with the correct explanation, the other two must be switched.
  2. The problems sometimes require common knowledge of coins, cards, and dice.

Real-life Applications

  1. Probability, along with decimals, percents, and fractions are used to determine the probability of a basketball player making a shot.
  2. Data and statistics appear in news reports and in the media every day.
  3. Many of the problems in this exercise could be viewed as real-life applications.
  4. Statistics can be seen more frequently than calculus in every day life.

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