A Goodness of Fit Test is run to see if the proportion of hair color among students at a particular school matches the hair color proportions in the population in the surrounding area. In the surrounding area, 15% of the people have black hair, 50% of people have brown hair, 30% have blond hair and 5% have red/ginger hair. A sample of 150 students is taken at the school and it is found that 38 have black hair, 72 have brown hair, 29 have blond hair and 11 have red/ginger hair. Find the hair color category which has the largest difference between the observed number and the expected number. black O brown blond O red
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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