The HR team at Nielsen conducts their hiring process in two stages. For applicants who are classified as Alpha, Beta, and Gamma in the first stage, the chances of getting hired full-time after the second stage are 74%, 43% and 26% respectively. If an applicant is not hired full-time, they are either put on a probation list, or rejected. Unselected applicants of all categories (Alpha, Beta, and Gamma) are half as likely to be put on the probation list as being rejected. During the first stage of the most recent hiring, 22% of the applicants were rated Alpha, 39% were rated Beta, and the rest were rated Gamma. If a randomly chosen applicant was rejected by three out of eight individual interviewers, what is the probability that they were rated Alpha?
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.
The HR team at Nielsen conducts their hiring process in two stages. For applicants who are classified as Alpha, Beta, and Gamma in the first stage, the chances of getting hired full-time after the second stage are 74%, 43% and 26% respectively. If an applicant is not hired full-time, they are either put on a probation list, or rejected. Unselected applicants of all categories (Alpha, Beta, and Gamma) are half as likely to be put on the probation list as being rejected. During the first stage of the most recent hiring, 22% of the applicants were rated Alpha, 39% were rated Beta, and the rest were rated Gamma. If a randomly chosen applicant was rejected by three out of eight individual interviewers, what is the probability that they were rated Alpha?
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