The uses of probability could be for the lottery, black jack or, your math homework.
Actuaries use probability factors to determine costs and risks. It is an entire science of its own and has a certification process. Insurance companies hire many actuaries to do probability calculations and create mortality tables.
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its easy idiots, you use it when guessing :)
it is important to understand probability you may lose a good chance of winning something if you dont get or use probability at that time
Weather people use probability to predict weather in the future based on passed recent weather and by clouds and winds
empirical probability is when you actually experiment with it and get data values, and theoretical probability is when you use math to make an educated guess.
To help you find out the odds of an answer.