Consider an outbreak of shigellosis in which 18 persons in 18 different households all became ill. If the population of the community was 1,000. One incubation period later, 17 persons in the same households as these "primary" cases developed shigellosis. If the 18 households included 86 persons, the overall attack rate and secondary attack rate are
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.
![Consider an outbreak of shigellosis in which 18 persons
in 18 different households all became ill. If the
population of the community was 1,000.
One incubation period later, 17 persons in the same
households as these "primary" cases developed
shigellosis. If the 18 households included 86 persons,
the overall attack rate and secondary attack rate are
Overall (primary) attack rate is 25% and
secondary attack rate is 18%
Overall (primary) attack rate is 18% and
secondary attack rate is 28%
Overall (primary) attack rate is 20% and
secondary attack rate is 25%
Overall (primary) attack rate is 18% and
secondary attack rate is 28%
Overall (primary) attack rate is 18% and
secondary attack rate is 25%](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fff738ced-0f3b-412d-a4c4-f5aff119d8b9%2Fed59e139-0daa-4387-8565-9f93923d72d0%2Ft68x6zq_processed.jpeg&w=3840&q=75)
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