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_________ is the likelihood of the occurrence of a particular event, usually expressed as a proportion or ratio

User Dayerman
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Final answer:

Probability is the likelihood of an event occurring and can be illustrated using coin tosses, which have a 50 percent chance of resulting in heads. It is used across disciplines to assess risk and make predictions, with examples including the calculation of relative frequency and risk ratios.

Step-by-step explanation:

Probability is the likelihood of the occurrence of a particular event, usually expressed as a proportion or ratio. A classic example of understanding probability is through coin tosses. When you toss a coin, there is a 50 percent chance, or probability, of getting heads due to the coin having only two possible outcomes: heads or tails, which are equally likely.

Another term associated with probability is relative frequency, which is the ratio of the number of times a value of the data occurs to the total number of outcomes. In practical terms, if you were to toss a fair coin 4,000 times, the relative frequency of landing heads would be close to half, or 0.5, showing a regular pattern of outcomes over many repetitions. Probability is a fundamental tool used in various fields, from simple games of chance to complex scientific studies, such as epidemiology, where it helps to calculate measures like risk ratios.

It is interesting to note that the theory of probability began with the study of games of chance such as poker and now extends into fields like medicine, finance, and weather prediction, where it is instrumental in assessing risks and making forecasts.

User Chabislav
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