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Probability is a branch of mathematics with a number of important applications. Being able to calculate the chances of an event occurring or not occurring can help us make informed decisions on many levels. On a personal level, it can help us decide whether or not it is advisable to bring an umbrella to work based on weather data. On a group level, it can help determine how likely someone is to purchase a company's product after viewing an advertisement. On the level of national policy, it can help discover if additional online security measures are likely to reduce the instance of pirated data. While it may at first appear probability is an obscure field of study, it can actually be applied to most areas of life.
Probability informs daily lives in a variety of ways, but when initially learning basic probability students may become confused by its combination of the tangible and the theoretical. Early problems involving a certain number of objects in a bag may seem easy, but the application of various rules to the ways in which certain probabilities can be considered together may seem too abstract and overwhelming.