Using probability to make fair decisions

The first instance of  is under the Probability and statistics 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. The student is asked to drag the selections correctly to determine which method is fair and why the other methods are not fair.Useprob1.png
 * 2) ''Is it fair and probability: This problem describes a selection method, often using a chart of empirical data. The student is asked to determine whether the choice process is fair, and also to find the probability of a particular event.Useprob2.png
 * 3) Select those that are fair: This problem describes several selection processes. The student is asked to select all of the methods that are fair from the given list.Useprob3.png

Strategies
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 you really need to take your time to make sure you are 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.