Major categories of probability interpretations

  Age Group Tested Never Tested 18–44 years 50,080 56,405 45–64 years 23,768 48,537 65–74 years 2,694 15,162 75 years and older 1,247 14,663 Total 77,789 134,767 Discuss probability. What is its history? What is the theory of probability? How is it calculated? What are the advantages and disadvantages of using this technique? Identify and discuss the two major categories of probability interpretations, whose adherents possess conflicting views about the fundamental nature of probability. Based on this survey, what is the probability that a randomly selected American adult has never been tested? Show your work. Hint: using the data in the two total rows, this would be calculated as p (NT) /( p (NT) + p (T)), where p is probability. What proportion of 18- to 44-year-old Americans have never been tested for HIV? Hint: using the values in the 18–44 cells, this would be calculated as p (NT) / ( p (NT) + p (T)), where p is probability. Show your work. Submit your (2-3 pages) paper by the end of this module.
Probability theory, a branch of mathematics concerned with the analysis of random phenomenon. The outcome of a random event cannot be determined before it occurs, but it may be any one of several possible outcomes. The theory of probability had its origins in games of chance and gambling. Probability originated from a gambler`s dispute in 1654 concerning the division of a stake between two players whose game was interrupted before its close. The problem was proposed by a well-to-do gambler, the Chevalier de Mere to prominent mathematicians including Blaise Pascal who shared his thoughts with Pierre e Fermat. The correspondence which ensued between the two mathematicians was fundamental in the development of modern concepts of probability.

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