It is used in insurance and health care to look at how risky it is to offer a policy to a given person or group. In Las Vegas, it is used in all games. When looking at reactions to medications, people look at the odds that a given person will have an adverse outcome. There are many more, but this gives you an idea.
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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.
No one! It's pointless in life and will get you nowhere.
Not necessarily.
Non probability sampling and probability sampling are different because probability sampling uses random samples. Non probability sampling aren't random, but can still be representative of the population as a whole if done correctly.
There are a variety of practical uses for Pascal's triangle. Some of these include algebra, probability, as well as triangular numbers.