Some examples of such situations might include:
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Analyzing stopping distance for a car.
Estimating how much water and food is needed for emergency relief in a devastated city of 3 million people, and how it might be distributed.
Planning a table tennis tournament for 7 players at a club with 4 tables, where each player plays against each other player.
Relating population statistics to individual predictions.
Analyzing risk in situations such as extreme sports, pandemics, and terrorism.