A test has been developed for a certain virus that can be given to travellers returning to Russia from other countries. For one of the test trials, 1000 individuals from Europe were tested. Of those tested, 10 had the virus but tested negative (false negative), 60 had the virus and tested positive, and 30 did not have the virus but tested positive. The remaining 900 individuals did not have the virus and tested negative. What are the following probabilities(answer with the simplest possible fraction): P(+ test|have virus)= P(- test|have virus)= P(+ test| do not have virus)= P(- test|do not have virus)= 2. If a tourist returning to Russia from Europe tests positive for the virus, what is the probability that they actually have the virus?(answer with the simplest possible fraction)
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.
A test has been developed for a certain virus that can be given to travellers returning to Russia from other countries. For one of the test trials, 1000 individuals from Europe were tested. Of those tested, 10 had the virus but tested negative (false negative), 60 had the virus and tested positive, and 30 did not have the virus but tested positive. The remaining 900 individuals did not have the virus and tested negative.
- What are the following probabilities(answer with the simplest possible fraction):
- P(+ test|have virus)=
- P(- test|have virus)=
- P(+ test| do not have virus)=
- P(- test|do not have virus)=
2. If a tourist returning to Russia from Europe tests positive for the virus, what is the probability that they actually have the virus?(answer with the simplest possible fraction)
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