A marketing firm is hired to conduct rescarch into the listening habits of drivers in a large urban arca. On the first day, 121 drivers were surveyed: 26 listen lo FM radio while driving, 4 of whom listen to only FM. Eight more listen to FM and AM only, while 4 listen to FM and satellite only. There were 6 that listen to only AM, 22 that listen to only satellite, and 69 that listen to at least one of the three. (a) Are there more people who listen to satellite radio, or more who listen to none of the three types in the survey? (b) How many more listen to AM radio than FM? (c) How many listen to some form of radio, but not AM?
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.
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