Philosophers and other researchers writing about probability have argued about how to best interpret the mathematical apparatus. Here are three broad views about how to interpret probability claims. First, we might take probability claims to be claims about the frequency of some event in a sequence of events. For example, if I flip a coin 100 times and "Heads" comes up 53 times, I might say that the probability of "Heads" in that sequence of flips is 53 in 100; the frequency with which the event "Heads comes up" occurs in the sequence of flips. Second, we might take probability claims to be claims about the degree to which we believe that some sentence is true. For example, if I am thinking about betting on the next flip of the coin, I might believe that "Heads" will come up more strongly than I believe that "Tails" will come up. Third, we might take probability claims to be claims about the degree to which our evidence supports a sentence. For example, we might know that at least one of three coin flips is "Heads" and ask how much support that gives to the claim that all three coin flips are "Heads." Answer the following questions. a) select an interpretation of probability from the prompt above to defend. b) Give reasons for selecting/endorsing the interpretation you selected. c) Give reasons for rejecting the interpretations you did not select.
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
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Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
Philosophers and other researchers writing about
Answer the following questions.
a) select an interpretation of probability from the prompt above to defend.
b) Give reasons for selecting/endorsing the interpretation you selected.
c) Give reasons for rejecting the interpretations you did not select.
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