A survey was conducted by a website on which online music channels subscribers use on a regular basis. The following information summarizes the answers. 6 listened to rap, heavy metal, and alternative rock. 11 listened to rap and heavy metal. 20 listened to heavy metal and alternative rock. 22 listened to rap and alternative rock. 29 listened to rap. 36 listened to heavy metal. 46 listened to alternative rock. 24 listened to none of these three channels. a. How many people were surveyed? b. How many people listened to either rap or alternative rock? c. How many listened to heavy metal only?
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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