article involving smoking cessation intervention in Heart and Lung classified the subjects into the following classification table, which shows the probabilities. Suppose that a subject is selected at random, Cardiovascular General Surgery Experimental 0.10 0.27 Usual Care 0.12 0.51 (a) Find the probability that the subject belongs to the experimental group. (b) Find the probability that the subject is in the cardiovascular group, given that he is from the usual care. (c) Find the probability that the subject is from the experimental group and also from the general surgery group. (d) Find the probability that the subject is from the experimental group or from the general surgery group.
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.
article involving smoking cessation intervention in Heart and Lung classified the subjects into the following classification table, which shows the probabilities. Suppose that a subject is selected at random,
Cardiovascular General Surgery
Experimental 0.10 0.27
Usual Care 0.12 0.51
(a) Find the
(b) Find the probability that the subject is in the cardiovascular group, given that he is from the usual care.
(c) Find the probability that the subject is from the experimental group and also from the general surgery group.
(d) Find the probability that the subject is from the experimental group or from the general surgery group.
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